Cite

[1] A. Anguraj, M. Mallika Arjunan and E. Hernandez, Existence results for an impulsive neutral functional differential equation with state-dependent delay, Applicable Analysis, 86(7)(2007), 861–872.10.1080/00036810701354995Search in Google Scholar

[2] A. Anguraj and K. Karthikeyan, Existence of solutions for impulsive neutral functional differential equations with nonlocal conditions, Nonlinear Analysis: Theory, Methods & Applications, 70(7)(2009), 2717–2721.10.1016/j.na.2008.03.059Search in Google Scholar

[3] K. Balachandran and N. Annapoorani, Existence results for impulsive neutral evolution integrodifferential equations with infinite delay, Nonlinear Analysis: Hybrid Systems, 3(2009), 674–684.10.1016/j.nahs.2009.06.004Search in Google Scholar

[4] M. Benchohra, J. Henderson and S. Ntouyas, Impulsive Differential Equations and Inclusions, Hindawi Publishing Corporations, Contemporary Mathematics and Its Applications, Volume 2, 2006.10.1155/9789775945501Search in Google Scholar

[5] T. Cardinali and P. Rubbioni, Impulsive semilinear differential inclusion: Topological structure of the solution set and solutions on non-compact domains, Nonlinear Analysis: Theory, Methods & Applications, 69(1)(2008), 73–84.10.1016/j.na.2007.05.001Search in Google Scholar

[6] A. Chadha and Dwijendra N Pandey, Existence results for an impulsive neutral integro-differential equation with infinite delay via fractional operators, Malaya Journal of Matematik 2(3)(2014), 203–214.10.1155/2014/780636Search in Google Scholar

[7] Y.K. Chang, A. Anguraj and M. Mallika Arjunan, Existence results for impulsive neutral functional differential equations with infinite delay, Nonlinear Analysis: Hybrid Systems, 2(1)(2008), 209–218.10.1016/j.nahs.2007.10.001Search in Google Scholar

[8] Y.K. Chang, A. Anguraj and M. Mallika Arjunan, Existence results for non-densely defined neutral impulsive differential inclusions with nonlocal conditions, Journal of Applied Mathematics and Computation, 28(1)(2008), 79–91.10.1007/s12190-008-0078-8Search in Google Scholar

[9] Y.K. Chang, A. Anguraj and K. Karthikeyan, Existence for impulsive neutral integro-differential inclusions with nonlocal initial conditions via fractional operators, Nonlinear Analysis: Theory, Methods & Applications, 71(10)(2009), 4377–438610.1016/j.na.2009.02.121Search in Google Scholar

[10] K. Ezzinbi, Xianlong Fu and Khalid Hilal, Existence and regularity in the - norm for some neutral partial differential equations with nonlocal conditions, Nonlinear Analysis: Theory, Methods & Applications, 67(5)(2007), 1613–1622.10.1016/j.na.2006.08.003Search in Google Scholar

[11] Z. Fan and G. Li, Existence results for semilinear differential equations with nonlocal and impulsive conditions, Journal of Functional Analysis, 258(5)(2010), 1709–1727.10.1016/j.jfa.2009.10.023Search in Google Scholar

[12] J.K. Hale, Partial neutral functional-differential equations, Romanian Journal of Pure and Applied Mathematics, 39(4)(1994), 339–344.Search in Google Scholar

[13] J.K. Hale and S.M. Verduyn Lunel, Introduction to Functional-Differential Equations, Applied Mathematical Sciences, Springer-Verlag, New York, 99(1993).10.1007/978-1-4612-4342-7Search in Google Scholar

[14] E. Hernandez and Donald O’Regan, Existence results for a class of abstract impulsive differential equations, Bulletin of Australian Mathematical Society, 87(3)(2013), 366–385.10.1017/S0004972713000154Search in Google Scholar

[15] E. Hernandez, Jair Silverio dos Santos and Katia A.G. Azevedo, Existence of solutions for a class of abstract differential equations with nonlocal conditions, Nonlinear Analysis: Theory, Methods & Applications, 74(7)(2011), 2624–2634.10.1016/j.na.2010.12.018Search in Google Scholar

[16] E. Hernandez and Donald O’Regan, On a new class of abstract neutral differential equations, Journal of Functional Analysis, 261(12)(2011), 3457–3481.10.1016/j.jfa.2011.08.008Search in Google Scholar

[17] E. Hernandez and H.R. Henriquez, Impulsive partial neutral differential equations, Applied Mathematics Letters, 19(3)(2006), 215–222.10.1016/j.aml.2005.04.005Search in Google Scholar

[18] L. Hu and Y. Ren, Existence results for impulsive neutral stochastic functional Integro-differential equations with infinite delay, Acta Applicandae Mathematicae, 111(3)(2010), 303–317.10.1007/s10440-009-9546-xSearch in Google Scholar

[19] V. Lakshmikantham, D. Bainov and P.S. Simeonov, Theory of Impulsive Differential Equations, World Scientific, Singapore, (1989).10.1142/0906Search in Google Scholar

[20] N.Y. Nadaf and M. Mallika Arjunan, Existence and controllability results for damped second order impulsive neutral functional differential systems with state-dependent delay in Banach spaces, Malaya Journal of Matematik, 1(1)(2013), 70–85.10.26637/mjm101/008Search in Google Scholar

[21] A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York, 44, 1983.10.1007/978-1-4612-5561-1Search in Google Scholar

[22] C. Parthasarathy and M. Mallika Arjunan, Existence results for impulsive neutral stochastic functional integro-differential systems with infinite delay, Malaya Journal of Matematik 1(1)(2012), 26–41.10.26637/mjm0101/005Search in Google Scholar

[23] S. Selvarasu, P. Kalamani and M. Mallika Arjunan, Approximate controllability of nonlocal impulsive fractional neutral stochastic integrodifferential equations with state-dependent delay in Hilbert spaces, Malaya Journal of Matematik, 4(4)(2016), 571–598.10.1186/s13662-016-0885-4Search in Google Scholar

[24] A. Vinodkumar, Existence and uniqueness of solutions of random impulsive differential equations, Malaya Journal of Matematik, 1(1)(2012), 8–13.10.26637/mjm0101/002Search in Google Scholar

[25] J. Wu and H. Xia, Rotating waves in neutral partial functional-differential equations, Journal of Dynamics and Differential Equations, 11(2)(1999), 209–238.10.1023/A:1021973228398Search in Google Scholar

[26] J. Wu and H. Xia, Self-sustained oscillations in a ring array of coupled loss less transmission lines, Journal of Differential Equations, 124(1)(1996), 247–278.10.1006/jdeq.1996.0009Search in Google Scholar

[27] J. Wu, Theory and Applications of Partial Functional-Differential Equations, Applied Mathematical Sciences, Springer- Verlag, Newyork, 119, 1996.10.1007/978-1-4612-4050-1Search in Google Scholar

eISSN:
1844-0835
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Mathematics, General Mathematics