2012

  1. Discrete linear Hamiltonian systems: Lyapunov type inequalities, stability and disconjugacy criteria.  Journal of Mathematical Analysis and Applications, Volume 396, Issue 2, 15 December 2012, Pages 606–617

  2. Nonoscillation and oscillation of second-order impulsive differential equations with periodic coefficients.  Applied Mathematics Letters 25 (3) (2012)  pp. 294-300 (with A. Özbekler)

  3. On the oscillation of fractional differential equations.  Fractional Calculus and Applied Analysis, 15 (2) (2012) pp. 222-231 (with S. R. Grace, R. P. Agarwal, P. J.Y Wong)

  4. Oscillation of Third-Order Nonlinear Delay Difference Equations. Turk. J. Math., 36, (2012), 422-436. (with Aktaş, M.F., Tiryaki, A)

  5. Oscillation of nonlinear impulsive partial difference equations with continuous variables. Journal of Difference Equations and Applications Volume 18, Issue 6, June 2012, pages 1101-1114 (with R. P. Agarwal, F. Karakoç

  6. Oscillation of higher order nonlinear dynamic equations on time scales. Advances in Difference Equations 2012, 2012:67 doi:10.1186/1687-1847-2012-67 (with Said R. Grace, Ravi P. Agarwal)

  7. Existence of solutions for a class of nonlinear boundary value problems on half-line. Boundary Value Problems 2012, :43 doi:10.1186/1687-2770-2012-43 (with Türker Ertem)


2011

  1. On disconjugacy and stability criteria for discrete Hamiltonian systems. Comput. Math. Appl. 62 (8)   (2011) pp. 3015–3026, 39A23 (70H05) (with R. Mert)

  2. Forced oscillation of second-order nonlinear differential equations with positive and negative coefficients  Applied Mathematics Letters, 24 (7) (2011) pp. 1225-1230. (with Özbekler, A., Wong, J.S.W)

  3. Oscillation of second-order sublinear impulsive differential equations. Abstr. Appl. Anal. Art. ID 458275, (2011) 11 pages, 34K11 (34K45)

  4. Time scale extensions of a theorem of Wintner on systems with asymptotic equilibrium. J. Difference Equ. Appl. 17 (5)  (2011) pp. 841–857, 34N05 (34D05 39A12  (with R. Mert)

  5. Annulus criteria for mixed nonlinear elliptic differential equations.  Mathematical and Computer Modelling, 53 (9-10) (2011) pp. 1856-1864.  (with Y. Şahiner)

  6. On stability of linear delay differential equations under Perron's condition. Abstr. Appl. Anal.  Art. ID 134072, (2011) 9 pages. 34K20 (with J. Diblik)

  7. Oscillation of solutions of second order mixed nonlinear differential equations under impulsive perturbations (2011) Computers and Mathematics with Applications, 61 (4), pp. 933-940. (with A. Özbekler)


2010

  1. Interval oscillation criteria for second order delay dynamic equations with mixed nonlinearities. Computers & Mathematics with Applications, 59 (2010) 977-993  (with R. P. Agarwal and D. R. Anderson)

  2. Recent trends in differential and difference equations.  Advances in Difference Equations, 2010 (2010) , art. no. 891697  (with A. Berezansky and J. Diblik; editorial)

  3. Mixed nonlinear oscillation of second order forced dynamic equations. Dynamic Systems and Applications, 19 (3-4), (2010)  pp. 635-650.  (with A. F. Güvenilir and Y. Şahiner) 

  4. Picone type formula for non-selfadjoint impulsive differential equations with discontinuous solutions. Electronic Journal of Qualitative Theory of Differential Equations, (2010)  pp. 1-12.  (with A. ?bekler)

  5. Interval criteria for second-order super-half-linear functional dynamic equations with delay and advance arguments. Journal of Difference Equations and Applications, 16 (8), (2010)  pp. 917-930.  (with D. R. Anderson)

  6. A survey on oscillation of impulsive ordinary differential equations. Advances in Difference Equations.  2010, (2010)  art. no. 354841 (with F. Karako?and R. P. Agarwal) 

  7. Oscillation of second-order mixed-nonlinear delay dynamic equations. Advances in Difference Equations, 2010, (2010)  art. no. 389109 (with M. ?al)

  8. Principal and nonprincipal solutions of impulsive differential equations with applications. Applied Mathematics and Computation, 216 (4), (2010)  pp. 1158-1168. (with A. ?bekler) 

  9. Oscillation criteria for third-order nonlinear functional differential equations. Applied Mathematics Letters,  23 (2010), no. 7, 756–762 (with M. F. Aktaş and A. Tiryaki)

  10. Leighton–Coles–Wintner Type Oscillation Criteria for Half-Linear Impulsive Differential Equations.  Advances in Dynamical Systems and Applications (ADSA), Volume 5, Number 2, (2010)  205-214


2009

  1. Difference equations and applications. Proceedings of the fourteenth international conference on  difference equations and applications (ICDEA), Istanbul, Turkey, July 21--25, 2008. Bah?şehir University Press (ISBN 978-975-6437-80-3/pbk). viii, 320p. (2009)  (Bohner, Martin (ed.); Došla Zuzana (ed.); Ladas,Gerasimos (ed.); , Mehmet (ed.); Zafer, Ağacık (ed.))

  2. Nonlinear oscillation of second-order dynamic equations on time scales Applied Mathematics Letters, Volume 22, Issue 10, (2009), 1591-1597  (with D. R. Anderson)

  3. Integral criteria for oscillation of third order nonlinear differential equations Nonlinear Analysis TMA, 71 (2009), e1496-1502 (with M.F. Aktas and A. Tiryaki)

  4. Eventually positive solutions of second-order superlinear dynamic equations Further progress in analysis:  Proceedings of the 6th International ISAAC Congress, Ankara, Turkey, 13 – 18 August 2007, World Scientific, (2009) pp. 535-544,  ISBN:  978-981-283-732-5, Edited by H G W Begehr (Freie Universit? Berlin, Germany),  A O Çelebi (Yeditepe University, Turkey), R P Gilbert (University of Delaware, USA) (with R. Mert)

  5. Interval criteria for forced oscillation of super-half-linear differential equations under impulse Effect, Math. Comput. Modelling,  50 (2009) 59-65  (with A. Öbekler) 

  6. Oscillation Criteria for Second-Order Forced Dynamic Equations with Mixed Nonlinearities Advances in Difference Equations, Volume 2009, Article ID 938706, 20 pages doi:10.1155/2009/938706  (with R. P. Agarwal)

  7. On oscillation and nonoscillation of second order dynamic equations Appl. Math. Lett. 22 (2009) 136–14

  8. Interval oscillation criteria for second order super-half-linear functional differential equations with delay and advanced arguments Mathematische Nachrichten, 282, No. 9 (2009) 1334–1341 

  9. Oscillation of second order nonlinear impulsive deleay differential equations  Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, 16 (2009) 221-231 (with F. S. Saryal)            

 
2008 

  1. On periodic solutions of linear impulsive differential systems   Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, 15 (2008) 621-631  (with  M. U. Akhmet, J. Alzabut)

  2. Calculating the matrix exponential of a constant matrix on time scales  Appl. Math. Lett., 21 (2008) 612-616

  3. Stability criterion for second order linear impulsive differential equations with periodic coefficients  Mathematische Nachrichten,281 (2008) 1273-1282  (with G. Sh. Guseinov)  

  4. Asymmptotic equivalence of dynamic equations on time scale Discrete Contin. Dynam. Systems-Series B, Suppl, (2007) 558-567 (with B. Kaymakçalan & R. Mert)

  5. Oscillation of higher order neutral type periodic differential equations with distributed arguments J. Inequalities & Applications, 2007 (2007), Art. ID 98423, 13 pp  (with R.S. Dahiya)

  6. Forced oscillation of super-half-linear impulsive differential equations  Comput. Math. Appl. 54 (2007) 785-792  (with A. Özbekler)

  7. Asymptotic equivalence of differential equations and asymptotically almost periodic solutions Nonlinear Analysis, 67 (2007) 1870-1877 (with M.U. Akhmet, M.A. Tleubergenova)

  8. Langenhop's inequality and applications for dynamic equations Electronic Transactions on Numerical Analysis (ETNA), 27 (2007) 71-77 (with B. Kaymakçalan).

  9. Stability Criteria for Linear Periodic Impulsive Hamiltonian Systems J.Math. Anal. Applic., 335 (2007) 1195-1206  (with G. Sh. Guseinov) 


2006

  1. Oscillation of higher-order neutral type functional differential equations with distributed arguments Proceedings of the Conference on Differential & Difference Equations and Applications, Hindawi Publ. Corp. (2006), pp. 315-324, ISBN: 977-5945-380,  Edited by R.P. Agarwal and K. Perera  (with R.S. Dahiya)

  2. The exponential of a constant matrix on time scales ANZIAM J. 48 (2006), 99-106

  3. Second-order oscillation of forced functional differential equations with oscillatory potentials Comput. Math. Appl.. 51 (2006), 1395--1404  (with A.F. Güvenilir).

  4. Picone's formula  for second order linear  impulsive differential equations J. Math. Anal. Applic., 319 (2006) 410-423 (with A. Özbekler).

  5. Perron's theorem for linear impulsive differential equations with distributed delayJ. Comput. Appl. Math.., 193 (2006) 204-218  (with M. Akhmet and J. Alzabut)

 
2005

  1. On asymptotic equivalence of linear and quasilinear difference equations Applicable Analysis, 84, No. 9 (2005), 899-908

  2. Sturmian comparison theory for linear and half-linear impulsive differential equations  Nonlinear Analysis, 63 (2005)  289-297 (with A. ?bekler)

  3. Interval oscillation of a general class of second order nonlinear differential equations with nonlinear damping  Nonlinear Analysis,  60 (2005), no. 1, 49-63  (with A. Tiryaki)


2004

  1. Oscillation criteria for second order impulsive delay differential equations AIP Conf.Proc. 729 (2004), 317-324  (with M. U. Akhmet and  J. Alzabut)

  2. On Functionally Equivalent Impulsive Delay Differential Equations Proceedings of Dynamical Systems and Applications, 5-10 July 2004  48-55  (with M. U. Akhmet and  J. Alzabut)

  3. Controllability of two-point nonlinear boundary-value problems by the numerical-analytic method Appl. Math. Comput. 151 No.3, (2004), 729-744 (with M. Akhmet) 

  4. Oscillation of Second Order Nonlinear Differential Equations with Nonlinear Damping  Math. Comput. Modelling, 39 (2004), 197-208  (with A. Tiryaki)

 
2003

  1. Applications of Langenhop inequality to difference equations: lower bounds and oscillation Appl. Math. E-Notes, (3) (2003), 80-87


2002

  1. The Control of Boundary Value Problems for Quasilinear Impulsive Integrodifferential Equations Nonlinear Analysis, 48 (2002), 271-286 (with  M. Akhmetov and R. Sejilova)

 
2001

  1. Bounded Oscillation of Nonlinear Neutral Differential Equations of Arbitrary Order Czech. Math. J, 51(126) (2001) no. 1, 185-195  (with Y. Sahiner)

 
2000

  1. Positive Solutions and Oscillation of Higher Order Neutral Difference Equations Arch. Math. (Brno), 36 (2000), 623-636  (with Y. Yalçın, and Y. S, Ylmaz)

  2. Stability of the Zero Solution of Impulsive Differential Equations by the Lyapunov Second Method J. Math. Anal. Applic.248 (2000), 69-82  (with M. Akhmet) 

  3. Oscillation Criteria for Second Order Nonlinear Differential Equations with Damping Turkish J. Math., 24 (2000), 185-196  (with A. Tiryaki)

  4. Successive Approximation Method for Impulsive Differential Equations with Control Appl. Math. Lett. 13 (2000) no. 5, 99-105  (with M. Akhmet)

 
1999

  1. Oscillation of Second Order Nonlinear Neutral Differential Equations with Damping, Functional Differential Equations, 6 (1999) no. 1-2, 203-214  (with Y. Sahiner Yılmaz

  2. Controllability of the Vall?-Poussin Problem for Impulsive Differential Systems J. Optim. Theory Appl., 102 (1999) no. 2, 263-276  (with M. Akhmet)  

 
1998 

  1. Asymptotic Behavior of Higher Order Nonlinear Equations on Time Scales Comput. Math. Appl. 36 (1998) no. 10-12, 299-306  (with  B. Kaymak?lan and S. A. ?g?)

  2. The Existence of Positive Solutions and Oscillation of Solutions of Higher Order Difference Equations with Forcing Terms Comput. Math. Appl.. 36 (1998) no. 10-12, 27-35

  3. Oscillation Theorems of Higher Order Neutral Type Differential Equations  Discrete Contin. Dynam. Systems-Series A,. Added Volume I, (1998), 203-219  (with R.S. Dahiya)

  4. Oscillation Criteria for Even Order Neutral Differential Equations  Appl. Math. Lett. 11 (1998), no. 3, 21-25

  5. The Contollability of Boundary Value Problems for Quasilinear Impulsive Systems  Nonlinear Analysis. 34 (1998), no. 7, 1055-1065  (with M. Akhmet)

  6. Necessary and Sufficient Condition for Oscillation of Higher Order Nonlinear Delay Difference Equations  Comput. Math. Appl. 35 (1998), no. 10, 125-130

  7. Oscillation of Even Order Nonlinear Neutral Differential Equations with Damping Math. Inequal. Appl. 1 (1998), no. 3, 445-451 (with Y. Sahiner Yılmaz)

  8. Two-sided Eigenvalue Bounds for the Spherically Symmetric States of the Schr?inger Equation J. Comput. Appl. Math., 95(1998), no. 1-2, 83-100  (with H. Taşeli)


1997

  1. Bessel Basis with Applications: N-dimensional Isotropic Polynomial Oscillators  Int. J. Quantum Chem. 63 (1997), no. 5, 935-947  (with H. Taşeli)

  2. A Fourier-Bessel Expansion for Solving Radial Schr?inger Equation in Two Dimensions  Int. J. Quantum Chem. 61 (1997), no. 2, 759-768  (with H. Taşeli)

  3. Asymptotic Behavior and Oscillation in Higher Order Nonlinear Differential Equations with retarded arguments  Acta Math. Hungar. 76 (1997), no. 3, 233-242

  4. Oscillation of Higher Order Neutral Type Difference Equations  Proceedings of the Second International Conference on Difference Equations and Applications, Gordon and Breach Publishers, 1997, pp. 641-647,   Edited by S. Elaydi, I. Gy?i and G. Ladas

  5. Gronwall and Bihari Type Inequalities on Time Scales Proceedings of the Second International Conference on Difference Equations and Applications, Gordon and Breach Publishers, 1997, pp. 481-490,  Edited by S. Elaydi, I. Györi and G. Ladas (with S. A. Özgün and B. Kaymakçalan)

1996

  1. Oscillation of Solutions of Arbitrary order Neutral Functional Differential Equations with Forcing Terms Proceedings of the First World Congress of Nonlinear Analysts,Walter de Gruyter, Inc., Berlin, Germany, Vol. II, 1996, pp. 1977-1987,  Edited by V. Lakshmikantham  (with R.S. Dahiya)


1995

  1. Oscillatory and Asymptotic Behavior of Higher order Difference Equations Math. Comput. Modelling 21 (1995), no. 4, 43-50


1993

  1. Oscillation of a Neutral Difference Equation Appl. Math. Lett. 6 (1993), no. 2, 71-74  (with R.S. Dahiya)

  2. Oscillation of Bounded solutions of Neutral Differential Equations Appl. Math. Lett. 6 (1993), no. 2, 43-46  (with R.S. Dahiya)

  3. Oscillatory and Asymptotic Behavior of Solutions of Third Order Delay Differential Equations with forcing Terms  Differential Equations Dynam. Sysytems 1 (1993), no. 2, 123-136  (with R.S. Dahiya)

  4. Oscillation Properties of Solutions of Arbitrary Order Neutral Differential Equations  Proceedings of the Third International Conference on Differential Equations, International Science Publishers VSP, 1993, pp.205-217, Edited by D.Bainov and V. Covachev  (with R.S. Dahiya