The existence and compactness of the set of solutions for a nonlinear integrodifferential equation in N variables in a Banach space

Authors

HUYNH THI HOANG DUNG
LE THI PHUONG NGOC
NGUYEN THANH LONG

Abstract

The paper is devoted to the study of a nonlinear integrodifferential equation in N variables with values in a general Banach space. By applying fixed point theorems in a suitable Banach space under appropriate conditions for subsets to be relatively compact, we prove the existence and the compactness of theset of solutions.Inorder to illustrate the results,we give two examples.

DOI

10.3906/mat-1901-84

Keywords

Nonlinear integrodifferential equation in N variables, the Banach fixed point theorem, Schauder fixed point theorem

First Page

418

Last Page

437

Recommended Citation

DUNG, HUYNH THI HOANG; NGOC, LE THI PHUONG; and LONG, NGUYEN THANH (2020) "The existence and compactness of the set of solutions for a nonlinear integrodifferential equation in N variables in a Banach space," Turkish Journal of Mathematics: Vol. 44: No. 2, Article 7. https://doi.org/10.3906/mat-1901-84
Available at: https://journals.tubitak.gov.tr/math/vol44/iss2/7