• 대한수학회논문집
• /
• 제33권1호
• /
• pp.171-177
• /
• 2018

In this research paper considering a differential equation with impulsive effect and dependent delay and applied Banach fixed point theorem using the impulsive condition to the impulsive fractional functional differential equation of an order ${\alpha}{\in}(1,2)$ to get an uniqueness solution. At last, theorem is verified by using a numerical example to illustrate the uniqueness solution.

• 한국해안·해양공학회논문집
• /
• 제27권3호
• /
• pp.175-181
• /
• 2015

본 연구에서는 2차원 수리실험을 통해 충격파 및 비충격파 조건에서의 직립식구조물의 월파량 산정식을 제안하였으며, 연구결과는 EurOtop(2007)의 결과와 비교하였다. 특히, 최근의 월파량 산정기법의 연구동향을 고려하여 도표형태가 아닌 함수형태로 월파량 산정식을 제안하였다. 상대여유고와 무차원 월파량의 관계를 비충격파 조건은 지수함수, 충격파 조건은 거듭제곱 함수 형태로 제시하였다. 또한 경사형 상치콘크리트가 월파량에 미치는 영향계수를 제시하였다. 경사형 상치콘크리트의 설치위치가 월파량에 미치는 영향을 검토한 결과에 의하면 설치위치에 따른 차이는 크지 않은 것으로 나타났다.

• Nonlinear Functional Analysis and Applications
• /
• 제29권1호
• /
• pp.197-208
• /
• 2024

In the present paper, we establish Ulam-Hyres and Ulam-Hyers-Rassias stabilities for nonlinear impulsive integro-differential equations with non-local condition in Banach space. The generalization of Grownwall type inequality is used to obtain our results.

• Journal of applied mathematics & informatics
• /
• 제25권1_2호
• /
• pp.137-154
• /
• 2007

In this paper, we establish a sufficient condition for the controllability of the first-order impulsive functional differential inclusions with infinite delay in Banach spaces. The approach used is the nonlinear alternative of Leray-Schauder type for multivalued maps. An example is also given to illustrate our result.

• 대한수학회지
• /
• 제37권5호
• /
• pp.793-803
• /
• 2000

An impulsive semilinear parabolic equation subject to Robin boundary condition is considered. We prove that for certain classes of impulsive sources and continuous initial data, the solutions of the problem under consideration blow up in the desired time interval.

• Kyungpook Mathematical Journal
• /
• 제48권3호
• /
• pp.503-514
• /
• 2008

We investigate a three-species food chain system with Lotka-Volterra functional response and impulsive perturbations. In [23], Zhang and Chen have studied the system. They have given conditions for extinction of lowest-level prey and top predator and considered the local stability of lower-level prey and top predator eradication periodic solution. However, they did not give a condition for permanence, which is one of important facts in population dynamics. In this paper, we establish the condition for permanence of the three-species food chain system with impulsive perturbations. In addition, we give some numerical examples.

• Journal of applied mathematics & informatics
• /
• 제40권5_6호
• /
• pp.1089-1103
• /
• 2022

This paper focuses on the existence and uniqueness outcome for fractional integro-differential equation (FIDE) among impulsive edge condition and Hyers-Ulam-Rassias Stability (HURS) by using fractional calculus and some fixed point theorem in some weak conditions. The outcome procured in this paper upgrade and perpetuate some studied solutions.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제12권3호
• /
• pp.139-151
• /
• 2008

We investigate a three species food chain system with Lotka-Volterra type functional response and impulsive perturbations. We find a condition for the local stability of prey or predator free periodic solutions by applying the Floquet theory and the comparison theorems and show the boundedness of this system. Furthermore, we illustrate some examples.

• Journal of applied mathematics & informatics
• /
• 제29권3_4호
• /
• 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 applied mathematics & informatics
• /
• 제27권5_6호
• /
• pp.1235-1246
• /
• 2009

In this paper, we prove existence results for first order impulsive evolution differential inclusions with nonlocal condition by using a fixed point theorem for condensing multi-valued maps. An example is also given to illustrate the obtained results.