Browsing by Author "Dogan, Abdulkadir"
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Eigenvalue problems for nonlinear thirdorder mpoint pLaplacian dynamic equations on time scales
Dogan, Abdulkadir (WILEY111 RIVER ST, HOBOKEN 070305774, NJ, 2016)This work deals with the existence and uniqueness of a nontrivial solution for the thirdorder pLaplacian mpoint eigenvalue problems on time scales. We find several sufficient conditions of the existence and uniqueness ... 
EIGENVALUE PROBLEMS FOR SINGULAR MULTIPOINT DYNAMIC EQUATIONS ON TIME SCALES
Dogan, Abdulkadir (TEXAS STATE UNIV, 601 UNIVERSTITY DRIVE, SAN MARCOS, TX 78666 USA, 2017)In this article, we study a singular multipoint dynamic eigenvalue problem on time scales. We find existence of positive solutions by constructing the Green's function and studying its positivity eigenvalue intervals. Two ... 
Existence of Countably Many Positive Solutions for Nonlinear Boundary Value Problems on Time Scales
Dogan, Abdulkadir (NATURAL SCIENCES PUBLISHING CORPNSPPO BOX 32038, ISA TOWN 00000, BAHRAIN, 2014)In this paper, we consider the existence of countably many positive solutions for nonlinear singular boundary value problem on time scales. By using the fixedpoint index theory and a new fixedpoint theorem in cones, the ... 
Existence of multiple positive solutions for pLaplacian multipoint boundary value problems on time scales
Dogan, Abdulkadir (SPRINGEROPEN, CAMPUS, 4 CRINAN ST, LONDON, N1 9XW, ENGLAND, 2020)In this paper, we consider pLaplacian multipoint boundary value problems on time scales. By using a generalization of the LeggettWilliams fixed point theorem due to Bai and Ge, we prove that a boundary value problem has ... 
THE EXISTENCE OF POSITIVE SOLUTIONS FOR A SEMIPOSITONE SECONDORDER mPOINT BOUNDARY VALUE PROBLEM
Dogan, Abdulkadir (DYNAMIC PUBLISHERS, INC, 2015)In this paper, we study the existence of positive solutions to boundary value problem {u '' + lambda f(t,u)=0, t is an element of(0,1); u(0)=Sigma(m2)(i1) alpha (i)u(xi(i)), u'(1) = Sigma (m2)(i=1) beta(i) ... 
Existence of positive solutions for nonlinear multipoint pLaplacian dynamic equations on time scales
Dogan, Abdulkadir (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEYTUBITAK, ATATURK BULVARI NO 221, KAVAKLIDERE, TR06100 ANKARA, TURKEY, 2020)In this paper, we investigate the existence of positive solutions for nonlinear multipoint boundary value problems for pLaplacian dynamic equations on time scales with the delta derivative of the nonlinear term. Sufficient ... 
EXISTENCE OF POSITIVE SOLUTIONS FOR pLAPLACIAN AN mPOINT BOUNDARY VALUE PROBLEM INVOLVING THE DERIVATIVE ON TIME SCALES
Dogan, Abdulkadir (TEXAS STATE UNIV, 601 UNIVERSTITY DRIVE, SAN MARCOS, TX 78666 USA, 2014)We are interested in the existence of positive solutions for the pLaplacian dynamic equation on time scales (phi(P)(u(Delta)(t)))(V) a(t)f (t, u Delta(t), (t)) = 0, t is an element of (0,T)(T), subject to the multipoint ... 
Existence of positive solutions to multipoint third order problems with sign changing nonlinearities
Dogan, Abdulkadir; Graef, John R (UNIV TARTU PRESS, 1 W STRUVE ST, TARTU, 50091, ESTONIA, 2020)In this paper, the authors examine the existence of positive solutions to a thirdorder boundary value problem having a sign changing nonlinearity. The proof makes use of fixed point index theory. An example is included ... 
EXISTENCE OF THREE POSITIVE SOLUTIONS FOR AN mPOINT BOUNDARYVALUE PROBLEM ON TIME SCALES
Dogan, Abdulkadir (TEXAS STATE UNIV, 601 UNIVERSTITY DRIVE, SAN MARCOS, TX 78666 USA, 2013)We study an mpoint boundaryvalue problem on times scales. By using a fixed point theorem, we prove the existence of at least three positive solutions, under suitable growth conditions imposed on the nonlinear term. An ... 
Existence results for a class of boundary value problems for fractional differential equations
Dogan, Abdulkadir (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEYTUBITAKATATURK BULVARI NO 221, KAVAKLIDERE, TR06100 ANKARA, TURKEY, 2021)By application of some fixed point theorems, that is, the Banach fixed point theorem, Schaefer's and the LeraySchauder fixed point theorem, we establish new existence results of solutions to boundary value problems of ... 
Multiple positive solutions of nonlinear mpoint dynamic equations for pLaplacian on time scales
Dogan, Abdulkadir (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEYTUBITAK, ATATURK BULVARI NO 221, KAVAKLIDERE, TR06100 ANKARA, TURKEY, 2016)In this paper, we study the existence of positive solutions of a nonlinear mpoint pLaplacian dynamic equation (phi(p) (x(Delta)(t)))(del) w(t)f (t,x(t), x(Delta)(t)) = 0, t(1) < m1 X(ti)  B0 (Sigma m1 i=2 a(i)x(Delta)(t(i))) ... 
ON THE EXISTENCE OF POSITIVE SOLUTIONS FOR THE ONEDIMENSIONAL pLAPLACIAN BOUNDARY VALUE PROBLEMS ON TIME SCALES
Dogan, Abdulkadir (DYNAMIC PUBLISHERS, INC, 2015)In this paper, we study the following pLaplacian boundary value problems on time scales {(phi(p)(u(Delta)(t)))(del) + a(t)f(t, u(t), u(Delta)(t)) = 0, t is an element of [0,T](T), u(0)  B0(u(Delta)(0)) = 0, ... 
On the existence of positive solutions for the secondorder boundary value problem
Dogan, Abdulkadir (PERGAMONELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND, 2015)This paper is concerned with the existence of positive solutions to a second order boundary value problem. By imposing growth conditions on f and using a generalization of the LeggettWilliams fixed point theorem, we prove ... 
On the existence of positive solutions of the pLaplacian dynamic equations on time scales
Dogan, Abdulkadir (WILEY111 RIVER ST, HOBOKEN 070305774, NJ, 2017)In this paper, we investigate the existence of positive solutions for a nonlinear mpoint boundary value problem for the pLaplacian dynamic equations on time scales, by applying a Krasnosel'skii's fixed point theorem. As ... 
Positive solutions of nonlinear multipoint boundary value problems
Dogan, Abdulkadir (SPRINGER, VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS, 2018)This paper deals with the existence of positive solutions of nonlinear differential equation subject to the boundary conditions By using Schauder's fixed point theorem, we show that it has at least one positive solution ... 
POSITIVE SOLUTIONS OF THE pLAPLACIAN DYNAMIC EQUATIONS ON TIME SCALES WITH SIGN CHANGING NONLINEARITY
Dogan, Abdulkadir (TEXAS STATE UNIV, 601 UNIVERSTITY DRIVE, SAN MARCOS, TX 78666 USA, 2018)This article concerns the existence of positive solutions for pLaplacian boundary value problem on time scales. By applying fixed point index we obtain the existence of solutions. Emphasis is put on the fact that the ... 
Solutions to nonlinear secondorder threepoint boundary value problems of dynamic equations on time scales
Dogan, Abdulkadir (SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEYTUBITAK, ATATURK BULVARI NO 221, KAVAKLIDERE, TR06100 ANKARA, TURKEY, 2019)In this paper, we consider existence criteria of three positive solutions of threepoint boundary value problems for pLaplacian dynamic equations on time scales. To show our main results, we apply the wellknown ... 
TRIPLE POSITIVE SOLUTIONS FOR mPOINT BOUNDARYVALUE PROBLEMS OF DYNAMIC EQUATIONS ON TIME SCALES WITH pLAPLACIAN
Dogan, Abdulkadir (TEXAS STATE UNIV, 601 UNIVERSTITY DRIVE, SAN MARCOS, TX 78666 USA, 2015)In this article we study the existence of positive solutions for mpoint dynamic equation on time scales with pLaplacian. We prove that the boundaryvalue problem has at least three positive solutions by applying the five ...