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1. Positive solutions for m-point p-Laplacian fractional boundary value problem involving Riemann Liouville fractional integral boundary conditions on the half line

Author

Oz, Dondu and Karaca, Ilkay Yaslan

Subjects
Mathematics - Classical Analysis and ODEs, Mathematics - Analysis of PDEs, Primary 34A08, Secondary 34B15, 26A33, 34B18, 47H10
Abstract

This paper investigates the existence of positive solutions for m-point p-Laplacian fractional boundary value problem involving Riemann Liouville fractional integral boundary conditions on the half line via the Leray-Schauder Nonlinear Alternative theorem and the use and some properties of the Green function. As an application, an example is presented to demonstrate our main result.

Published
2020
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2. 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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3. Upper And Lower Solutions For Second-Order With M-Point Impulsive Boundary Value Problems

Author

Karaca, Ilkay Yaslan and Oz, Dondu

Subjects
Conditions, Multiple Positive Solutions, positive solutions, General Mathematics, m-point, Systems, Existence, upper and lower solutions, Impulsive boundary value problems, fixed point theorems
Abstract

In this paper, we consider a second-order m-point impulsive boundary value problem. By applying the upper and lower solutions method and the Schauder's fixed point theorem, we obtain the existence of at least one positive solution. We also give an example to illustrate our main result., Scientific and Technological Research Council of Turkey [TUBITAK-2211-A], The second author was granted a fellowship by the Scientific and Technological Research Council of Turkey (TUBITAK-2211-A).

Published
2021

4. 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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