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ON A NONLINEAR INTEGRODIFFERENTIAL EQUATION IN TWO VARIABLES WITH VALUES IN A GENERAL BANACH SPACE
Dung Huynh Thi Hoang,Ngoc Le Thi Phuong,Long Nguyen Thanh 경남대학교 기초과학연구소 2019 Nonlinear Functional Analysis and Applications Vol.24 No.2
The paper is devoted to the study of a nonlinear integrodifferential equation in two variables with values in a general Banach space. Applying the fixed point theorems together with the definition of a suitable Banach space and the establishment of appro- priate conditions for subsets to be relatively compact in this space, the existence and the compactness of the set of solutions are proved. Two illustrative examples are given.
ON A m-ORDER NONLINEAR INTEGRODIFFERENTIAL EQUATION IN N VARIABLES
Ngoc Le Thi Phuong,Dung Huynh Thi Hoang,Danh Pham Hong,Long Nguyen Thanh 경남대학교 기초과학연구소 2019 Nonlinear Functional Analysis and Applications Vol.24 No.4
In this paper, by applying the fixed point theorems coupled with establishing suitable Banach spaces and a su cient condition for relatively compact subsets, we study the existence and the compactness of the set of solutions for m-order nonlinear integrodi erential equation in N variables. In order to illustrate the results obtained here, we present two examples.