References
- [1] R. Agarwal, S. Hristova and D.O’Regan, Non-Instantaneous Impulses in Differential Equations, Springer, 2017.10.1007/978-3-319-66384-5
- [2] S. Anju and Sanjay K. Srivastava, Lyapunov approach for stability of integro-differential equations with non-instantaneous impulse effect, Malaya Journal of Matematik, 4(1)(2016), 119–125.
- [3] F.S. Acharya, Controllability of second order semilinear impulsive partial neutral functional differential equations with infinite delay, International Journal of Mathematics and Mathematical Sciences, 3(1)(2013), 207–218.
- [4] L. Bai and J.J. Nieto, Variational approach to differential equations with not instantaneous impulses, Applied Mathematics Letters, 73(2017), 44–48.10.1016/j.aml.2017.02.019
- [5] L. Byszewski, Theorem about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem, Journal of Mathematical Analysis and Applications, 162(1991), 494–505.10.1016/0022-247X(91)90164-U
- [6] P. Chen, X. Zhang and Y. Li, Existence of mild solutions to partial differential equations with non-instantaneous impulses, Electronic Journal of Differential Equations, 241(2016), 1–11.
- [7] K. Deng, Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions, Journal of Mathematical Analysis and Applications, 179(1993), 630–637.10.1006/jmaa.1993.1373
- [8] E. Hernandez and D. ORegan, On a new class of abstract impulsive differential equations, Proceedings of the American Mathematical Society, 141(2013), 1641–1649.10.1090/S0002-9939-2012-11613-2
- [9] P. Kumar, D.N. Pandey, D. Bahuguna, On a new class of abstract impulsive functional differential equations of fractional order, Journal of Nonlinear Sciences and Applications, 7(2014), 102–114.10.22436/jnsa.007.02.04
- [10] H. Leiva, Rothe’s fixed point theorem and controllability of semilinear non-autonomous systems, Systems & Control Letters, 67(2014), 14–18.10.1016/j.sysconle.2014.01.008
- [11] H. Leiva, Controllability of semilinear impulsive non-autonomous systems, International Journal of Control, 88(3)(2015), 585–592.10.1080/00207179.2014.966759
- [12] M. Malik, R. Dhayal, S. Abbas and A. Kumar, Controllability of non-autonomous nonlinear differential system with non-instantaneous impulses, RASCAM, 113(1)(2019), 103–118.10.1007/s13398-017-0454-z
- [13] M. Pierri, D. ORegan and V. Rolnik, Existence of solutions for semi-linear abstract differential equations with non instantaneous impulses, Applied Mathematics and Computation, 219(2013), 6743–6749.10.1016/j.amc.2012.12.084
- [14] R. Poongodi, V. T. Suveetha and S. Dhanalakshmi, Existence of mild solutions to partial neutral differential equations with non-instantaneous impulses, Malaya Journal of Matematik, 7(1)(2019), 27–33.10.26637/MJM0701/0006
- [15] 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/s13662-016-0885-4
- [16] J. Wang and X. Li, Periodic BVP for integer/fractional order nonlinear differential equations with non-instantaneous impulses, Journal of Applied Mathematics and Computing, 46(2014), 321–334.10.1007/s12190-013-0751-4
- [17] J. Wang and M. Feckan, A general class of impulsive evolution equations, Topological Methods in Nonlinear Analysis, 46(2015), 915–933.