References
- K. Balachandran and M.Chandrasekaran, Existence of solutions of nonlinear integrodifferential equation with nonlocal conditions, Indian J. Appl. Stoch. Anal. 10 (1997), 27-288.
- K. Balachandran and J. Y. Park, Existence of a mild solution of a functional integrodifferential equation with nonlocal condition, Bull. Korean Math. Soc. 38 (2001), no. 1, 175-182.
- L. Byszewski, Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem, J. Math. Anal. Appl. 162 (1991), 494-505. https://doi.org/10.1016/0022-247X(91)90164-U
- L. Byszewski, Existence, uniqueness and asymptotic satbility of solutions of abstract nonlocal Cauchy problem, Dynamic Systems and Applications 5 (1996), 595-605.
- L. Byszewski and H. Akca, On a mild solution of a semilinear funtional-differential evolution nonlocal problem, J. Appl. Math. Stoch. Anal. 10 (1997), 265-271. https://doi.org/10.1155/S1048953397000336
-
S. K. Choi, H. H. Jang, N. Koo, and C. Yun existence of solutions in the
${\alpha}$ -norm for neutral differential equations with nonlocal conditions, J. Chungchenong Math. Soc. 27 (2014), 89-97. https://doi.org/10.14403/jcms.2014.27.1.89 -
H. H. Jang, existence of mild solutions in the
${\alpha}$ -norm for some partial functional integrodifferential equations with nonlocal conditions, J. Chungchenong Math. Soc. 27 (2014), 393-401. https://doi.org/10.14403/jcms.2014.27.3.393 - K. D. Kucche and M. B. Dhakne, Existence of a Mild Solution of Mixed Volterra-Fredholm Functional Integrodifferential Equation with Nonlocal condition, Applied Mathematics and Computation 5 (2011), no. 8, 359-366.
- K. D. Kucche and M. B. Dhakne,On existence results and qualitative properties of mild solution of semilinear mixed Volterra-Fredholm functional integrodifferential equations in Banach spaces, Applied Mathematics and Computation 219 (2013), 10806-10816. https://doi.org/10.1016/j.amc.2013.05.005
- Y. Lin and J. H. Liu, Semilinear integrodifferential equatioins with nonlocal Cauchy problem, Nonlinear Analysis, Methods and Appl. 26 (1996), 1023-1033. https://doi.org/10.1016/0362-546X(94)00141-0
- B. G. Pachpatte, Inequalities for Differential and Integral Equations, Academic Press, New York, 1998.
- B. G. Pachpatte, Integral and finite difference inequalities and applications, North-holland Mathematics Studies 205 Elesevier Science, B. V., Amsterdam (2006).
- A. Pazy, Semigroups of linear operators and applications to partial differential equations, Applied Mathematical Sciences 44, Springer-Verlag, New York, 1983.