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2 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. 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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