ScholarLens Back to search
2018•Advances in Difference EquationsOpen access

Existence and uniqueness of solutions for a class of nonlinear integro-differential equations on unbounded domains in Banach spaces

Peiguo Zhang, Xinan Hao

Open full text 10 citations

Abstract

In this paper, the existence and uniqueness of solutions for a class of nonlinear integro-differential equations on unbounded domains in Banach spaces are established under more general conditions by constructing a special Banach space and using cone theory and the Banach contraction mapping principle. The results obtained herein improve and generalize some well-known results.

Open-access reader

About this research paper

What this paper is about

In this paper, the existence and uniqueness of solutions for a class of nonlinear integro-differential equations on unbounded domains in Banach spaces are established under more general conditions by constructing a special Banach space and using cone theory and the Banach contraction mapping principle. The results obtained herein improve and generalize some well-known results.

Why it matters

OpenAlex reports 10 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In this paper, the existence and uniqueness of solutions for a class of nonlinear integro-differential equations on unbounded domains in Banach spaces are established under more general conditions by constructing a special Banach space and using cone theory and the Banach contraction mapping principle. The results obtained herein improve and generalize some well-known results.

Key concepts: Mathematics, Uniqueness, Banach space, C0-semigroup, Banach manifold, Nonlinear system, Mathematical analysis, Eberlein–Šmulian theorem

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Existence and uniqueness of solutions for a class of nonlinear integro-differential equations on unbounded domains in Banach spaces — Research Paper | ScholarLens