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Öğe Multiple positive solutions for functional dynamic equations on time scales(2017) Oguz, Arzu Denk; Topal, Fatma Serap…Öğe On a system of second-order multi-point boundary value problems on time scales(Tbilisi Centre Math Sci, 2021) Oguz, Arzu Denk; Topal, S. GulsanThis paper is concerned with the existence and nonexistence of positive solutions for a system of nonlinear second order dynamic equations with multi-point boundary conditions on time scales.Öğe POSITIVE SOLUTIONS FOR A SINGULAR SEMIPOSITONE DYNAMIC SYSTEM WITH M-POINT BOUNDARY CONDITIONS ON TIME SCALES(Mathematical Research Press-Math Res, 2016) Oguz, Arzu Denk; Topal, Fatma SerapIn this paper, under suitable conditions by applying fixed point theorems in cones, we give the existence of two positive solutions for the system of second order singular semipositone m-point boundary value problem on time scales. We emphasize that the nonlinear term may take a negative value and be singular. As an application, we also give an example to illustrate our results.Öğe SYMMETRIC POSITIVE SOLUTIONS FOR SECOND ORDER BOUNDARY VALUE PROBLEMS WITH INTEGRAL BOUNDARY CONDITIONS ON TIME SCALES(Wilmington Scientific Publisher, Llc, 2016) Oguz, Arzu Denk; Topal, Fatma SerapThis paper investigates the existence of symmetric positive solutions for a class of nonlinear boundary value problem of second order dynamic equations with integral boundary conditions on time scales. Under suitable conditions, the existence of symmetric positive solution is established by using monotone iterative technique.Öğe Symmetric positive solutions for the systems of higher-order boundary value problems on time scales(Walter De Gruyter Gmbh, 2017) Oguz, Arzu Denk; Topal, Fatma SerapIn this paper, we discuss the existence of symmetric positive solutions for the systems of higherorder boundary value problems on time scales. Our results extend some recent work in the literature. The analysis of this paper mainly relies on the monotone iterative technique.
