• Kyungpook Mathematical Journal
• /
• v.31 no.1
• /
• pp.1-11
• /
• 1991

• Journal of the Chungcheong Mathematical Society
• /
• v.28 no.3
• /
• pp.365-375
• /
• 2015

Of concern is the existence, uniqueness, and continuous dependence of a mild solution of a nonlocal Cauchy problem for a semilinear mixed Volterra-Fredholm functional integrodifferential equation. Our analysis is based on the theory of a strongly continuous semigroup of operators and the Banach fixed point theorem.

• Communications of the Korean Mathematical Society
• /
• v.32 no.2
• /
• pp.457-466
• /
• 2017

We study the existence and uniqueness of S-asymptotically ${\omega}-periodic$ mild solutions for some partial functional integrodifferential equations with infinite delay and nonlocal conditions.

• Journal of the Chungcheong Mathematical Society
• /
• v.29 no.1
• /
• pp.49-58
• /
• 2016

We study the existence of S-asymptotically ${\omega}$-periodic mild solutions of partial functional integrodifferential equation by the method of Caicedo et al. [2].

• Journal of applied mathematics & informatics
• /
• v.29 no.3_4
• /
• pp.681-696
• /
• 2011

In this paper, we consider the existence of mild solutions for a certain class of nonlinear impulsive functional evolution integrodifferential equation with nonlocal conditions in Banach spaces. A sufficient condition is established by using Schaefer's fixed point theorem combined with an evolution system. An example is also given to illustrate our result.

• Journal of the Korean Mathematical Society
• /
• v.48 no.3
• /
• pp.585-597
• /
• 2011

We prove the existence and uniqueness of classical solutions for a quasilinear delay integrodifferential equation in Banach spaces. The result is established by using the semigroup theory and the Banach fixed point theorem.

• Proceedings of the Korean Institute of Intelligent Systems Conference
• /
• 2006.05a
• /
• pp.67-70
• /
• 2006

In this paper. we study the controllability for the semilinear fuzzy integrodifferential control system with nonlocal condition in $E_N$ by using the concept of fuzzy number whose values are normal, convex, upper semicontinuous and compactly supported interval in $E_N$.

• Journal of the Chungcheong Mathematical Society
• /
• v.22 no.1
• /
• pp.49-63
• /
• 2009

We obtain some retarded integral inequalities of Bihari-type and apply these results to a retarded differential equation of Bernoulli-type.

• Journal of Applied and Pure Mathematics
• /
• v.4 no.1_2
• /
• pp.9-26
• /
• 2022

The purpose of this work is to study the existence and continuous dependence on neutral stochastic partial integrodifferential equations with impulsive effects, perturbed by a fractional Brownian motion with Hurst parameter $H{\in}({\frac{1}{2}},\;1)$. We use the theory of resolvent operators developed in Grimmer [19] to show the existence of mild solutions. Further, we establish a new impulsive-integral inequality to prove the exponential stability of mild solutions in the mean square moment. Finally, an example is presented to illustrate our obtained results.

• Journal of applied mathematics & informatics
• /
• v.40 no.1_2
• /
• pp.305-316
• /
• 2022

We study the existence and uniqueness of solutions for a class of boundary value problems of nonlinear fractional order differential equations involving the Caputo fractional derivative by employing the Banach's contraction principle and the Schauder's fixed point theorem. In addition, an example is given to demonstrate the application of our main results.