참고문헌
- M Asadi, Exact Solutions of Singular IVPs Lane-Emden Equation, Comm. Nonlinear Anal., 6(1) (2019), 60-63.
- D. Bainov and Snezhana G. Haristova , Integral Inequalities of Gronwall type for piecewise continuous functions, J. Appl. Math. Stoc. Anal., 10(1) (1997), 89-94. https://doi.org/10.1155/S1048953397000099
- D. Bainov and Pavel Simeonov, Impusive Differential Equations, Periodic Solutions and Applications, 1993.
- M. Benchora, J. Henderson and S.K. Ntouyas, An existence Result for first order impulsive functional differential equations in Banach spaces, Comput. Math. Appl., 42 (2001), 1303-1310. https://doi.org/10.1016/S0898-1221(01)00241-3
- M. Gabeleh, M. Asadi and P.R. Patle, Simulation functions and MeirKeeler condensing operators with application to integral equations, Asian-Europ. J. Math., 15(9) (2022), Artical No. 2250171.
- S. Ghezellou, M. Azhini and M. Asadi, New theorems by minimax inequalities on Hspace, Bull. Math. Anal. Appl., 12(2) (2020), 27-34.
- D.H. Hyers, On the stability of the linear functional equation, Proc. Nat. Acad. Sci., 27 (1941), 222-224. https://doi.org/10.1073/pnas.27.4.222
- Rupali S. Jain and M.B. Dhakne, On impulsive nonlocal integro-differential equations with finite delay, Int. J. of Mathematics Research, 5(4) (2013), 361-373.
- Rupali S. Jain and M.B. Dhakne, On Global Existence of solutions for abstract nonlinear functional Integro-Differentai Equations With Nonlocal Condition, Contemporary Mathematics and Statistics, 2023(1) (2013), 44-53.
- Rupali S. Jain and M.B. Dhakne, On mild solutions of nonlocal semilinear functional integro-differential equations, Malaya Journal of Matematik, 3(1) (2013), 27-33. https://doi.org/10.26637/mjm103/005
- S.D. Kadam, R.S. Jain and B. Surendranath Reddy, On the global existence of mild solutions of impulsive integro-differential equations with nonlocal condition, Open J. of Applied and theoretical mathematics, 2(4) (2016), 1027-1040.
- K.D. Kucche and P.U. Shikhare, Ulam stabilities via pachpatte's inequality for Volterra-Fredholm delay integrodifferential equations in Banach spaces, Note di Matematica, Note Mat., 38(1) (2018), 67-82.
- G.E. Ladas and V. Lakshmikantham, Differential equations in abstract space, Acsdemic press, 1972.
- Xuezhu Li and Jinrong Wang, Ulam-Hyers-Rassias stability of semilinear differential equations with impulses, Electronic Journal of Differential Equations, 2013(172) (2013), 1-8.
- Zeng Lin, WeiWei and JinRong Wang, Existence and stability results for impulsive integro-differential equations, FACTA UNIVERSITATIS (NIS) Ser. Math. Inform., 29(2) (2014), 119-130.
- V. Lkashmikanthamm, D.D. Bainov and P.S. Simeonov, Theory of impulsive differential equations, World scientific Singapore, 1889.
- B.G. Pachpatte, Integral and finite difference inequalities and applications, Northholland Mathematics Studies, 205, Elsevier Science, B.V., Amsterdam, 2006.
- C. Parthasarathy, Existence and Hyers-Ulam Stability of nonlinear impulsive differential equations with nonlocal conditions, Electronic Journal of Mathematical Analysis and Applications, 4(1) (2016), 106-115. https://doi.org/10.21608/ejmaa.2016.310817
- Th.M. Rassias, On the stability of linear mappings in Banach spaces, Proc. Amer. Math. Soc., 72 (1978), 297-300. https://doi.org/10.1090/S0002-9939-1978-0507327-1
- S.M. Ulam, A collection of mathematical problems, Interscience Publishers, New York, 1968.
- JinRong Wang, Michal Feckan and Yong Zhou, On the stability of first order impulsive evolution equations, Opuscula Math., 34(3) (2014), 639-657. https://doi.org/10.7494/OpMath.2014.34.3.639
- JinRong Wanga, Michal Feckan and Yong Zhou, Ulams type stability of impulsive ordinary differential equations, J. Math. Anal. Appl., 395 (2012), 258-264. https://doi.org/10.1016/j.jmaa.2012.05.040
- Akbar Zada, Shah Faisal and Yongjin Li, On the Hyers-Ulam stability of first-order impulsive delay differential equations, Hindawi Publishing Corporation Journal of Function Spaces, Volume 2016, 6 pages, http://dx.doi.org/10.1155/2016/8164978.