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3 results on '"OZ, DONDU"'

1. EIGENVALUE INTERVALS FOR ITERATIVE SYSTEMS OF SECOND-ORDER NONLINEAR EQUATIONS WITH IMPULSES AND M-POINT BOUNDARY CONDITIONS.

Author

OZ, DONDU and KARACA, ILKAY YASLAN

Subjects
*NONLINEAR equations, *BOUNDARY value problems, *EIGENVALUES, *IMPULSIVE differential equations, *GREEN'S functions
Abstract

This paper is devoted to determining the eigenvalue intervals of the parameters λ1, λ2,..., λn for which there exist positive solutions of the iterative systems of second-order with m-point impulsive boundary value problem. We use the Guo-Krasnosel'skii fixed point theorem on the cones in order to achieve our results. An example is also presented to demonstrate the applicability of the main results obtained. [ABSTRACT FROM AUTHOR]

Published
2024
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2. Positive Solutions for Fractional-order Nonlinear Boundary Value Problems on Infinite Interval

Author

Karaca, Ilkay Yaslan, Oz, Dondu, and Ege Üniversitesi

Subjects
Fractional differential equations, positive solutions, boundary value problem, Infinite interval, fixed point theorems
Abstract

In this paper, Avery-Henderson (Double) fixed point theorem and Ren fixed point theorem are used to investigate the existence of positive solutions for fractional-order nonlinear boundary value problems on infinite interval. As applications, some examples are given to illustrate the main results.

Published
2021

3. EXISTENCE AND NONEXISTENCE OF POSITIVE SOLUTIONS FOR THE SECOND-ORDER m-POINT EIGENVALUE IMPULSIVE BOUNDARY VALUE PROBLEM.

Author

OZ, DONDU and KARACA, ILKAY YASLAN

Subjects
*EXISTENCE theorems, *EIGENVALUES, *BOUNDARY value problems, *FIXED point theory, *SET theory
Abstract

This paper is devoted to the study of the existence and nonexistence of positive solutions for a second-order m-point eigenvalue impulsive boundary value problem. We use the fixed point theorems on the cones in order to achieve our results. [ABSTRACT FROM AUTHOR]

Published
2022
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