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EIGENVALUE INTERVALS FOR ITERATIVE SYSTEMS OF SECOND-ORDER NONLINEAR EQUATIONS WITH IMPULSES AND M-POINT BOUNDARY CONDITIONS
(House Book Science-Casa Cartii Stiinta, 2024) Oz, Dondu; Karaca, Ilkay yaslan
This paper is devoted to determining the eigenvalue intervals of the parameters lambda(1), lambda(2), ..., lambda(n) for which there exist positive solutions of the iterative systems of second-order with mpoint 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.
EXISTENCE AND NONEXISTENCE OF POSITIVE SOLUTIONS FOR THE SECOND-ORDER m-POINT EIGENVALUE IMPULSIVE BOUNDARY VALUE PROBLEM
(Univ Miskolc Inst Math, 2022) Oz, Dondu; Karaca, Ilkay yaslan
This paper is devoted to the study of the existence and nonexistence of positive solu-tions 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. 2010 Mathematics Subject Classification: 34B37; 34B15; 34B18; 34B40