Nonlinear Neutral Integrodifferential Equations on Unbounded Intervals
نویسندگان
چکیده
Abstract In this paper we prove the existence of solutions for a boundary value nonlinear neutral integrodifferential problem in Rn defined on an unbounded interval. The result is obtained by using the Schaefer fixed point theorem and by using a recent result [4] on compactness of a continuous operator K : BC(I,Rn) → BC(I,Rn); here BC(I,Rn) is the Banach space of continuous functions from the (possibly) unbounded interval I ⊂ R into Rn. As corollary we obtain a result of existence of solutions for a Cauchy problem for nonlinear neutral integrodifferential equations.
منابع مشابه
Controllability Results for Nonlinear Neutral Fuzzy Integrodifferential Systems in Fuzzy Semigroups
In this paper, we study the existence and uniqueness of nonlinear fuzzy neutral integrodifferential equations. We also establish the controllability of nonlinear fuzzy neutral integrodifferential systems. The results are obtained in this paper are mainly based on the fuzzy strongly continuous semigroup theory. An example is provided to illustrate the main results of this paper.
متن کاملControllability of Neutral Volterra Integrodifferential Systems
Sufficent conditions for controllability of nonlinear neutral Volterra integrodifferential systems are established. Controllability of an infinite-delay neutral Volterra system is also considered.
متن کاملUlam stabilities for nonlinear Volterra-Fredholm delay integrodifferential equations
In the present research paper we derive results about existence and uniqueness of solutions and Ulam--Hyers and Rassias stabilities of nonlinear Volterra--Fredholm delay integrodifferential equations. Pachpatte's inequality and Picard operator theory are the main tools that are used to obtain our main results. We concluded this work with applications of ob...
متن کاملA Generalized Halanay Inequality for Stability of Nonlinear Neutral Functional Differential Equations
Wansheng Wang School of Mathematics and Computational Science, Changsha University of Science and Technology, Changsha 410114, China Correspondence should be addressed to Wansheng Wang, [email protected] Received 22 March 2010; Accepted 18 July 2010 Academic Editor: Kun quan Q. Lan Copyright q 2010 Wansheng Wang. This is an open access article distributed under the Creative Commons Attribution L...
متن کاملControllability of nonlinear implicit fractional integrodifferential systems
Integrodifferential equations arise in many fields of science and engineering such as fluid dynamics, biological models, and chemical kinetics. A detailed investigation of integrodifferential equations and their solution via the Laplace transform method can be found in the work of Burton (1983). Recently, fractional integrodifferential equations have been used to model various physical phenomen...
متن کامل