Browsing Bilgisayar Bilimleri Fakültesi/Faculty of Computer Sciences by Issue Date
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EXISTENCE OF THREE POSITIVE SOLUTIONS FOR AN mPOINT BOUNDARYVALUE PROBLEM ON TIME SCALES
(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 OF POSITIVE SOLUTIONS FOR pLAPLACIAN AN mPOINT BOUNDARY VALUE PROBLEM INVOLVING THE DERIVATIVE ON TIME SCALES
(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 Countably Many Positive Solutions for Nonlinear Boundary Value Problems on Time Scales
(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 ... 
Numerical solutions of the kawahara equation by the septic Bspline collocation method
(International Academic Press, 2014)In this article, a numerical solution of the Kawahara equation is presented by septic Bspline collocation method. Applying the VonNeumann stability analysis, the present method is shown to be unconditionally stable. The ... 
TRIPLE POSITIVE SOLUTIONS FOR mPOINT BOUNDARYVALUE PROBLEMS OF DYNAMIC EQUATIONS ON TIME SCALES WITH pLAPLACIAN
(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 ... 
On the existence of positive solutions for the secondorder boundary value problem
(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 FOR THE ONEDIMENSIONAL pLAPLACIAN BOUNDARY VALUE PROBLEMS ON TIME SCALES
(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, ... 
THE EXISTENCE OF POSITIVE SOLUTIONS FOR A SEMIPOSITONE SECONDORDER mPOINT BOUNDARY VALUE PROBLEM
(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) ... 
Solitarywave solutions of the GRLW equation using septic Bspline collocation method
(ELSEVIER SCIENCE INC, 2016)In this work, solitarywave solutions of the generalized regularized long wave (GRLW) equation are obtained by using septic Bspline collocation method with two different linearization techniques. To demonstrate the ... 
A numerical investigation of the GRLW equation using lumped Galerkin approach with cubic Bspline
(Springer, 2016)In this work, we construct the lumped Galerkin approach based on cubic Bsplines to obtain the numerical solution of the generalized regularized long wave equation. Applying the von Neumann approximation, it is shown that ... 
Eigenvalue problems for nonlinear thirdorder mpoint pLaplacian dynamic equations on time scales
(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 ... 
A septic Bspline collocation method for solving the generalized equal width wave equation
(ACADEMIC PUBLICATION COUNCIL, 2016)In this work, a septic Bspline collocation method is implemented to find the numerical solution of the generalized equal width (GEW) wave equation by using two different linearization techniques. Test problems including ... 
A cubic Bspline Galerkin approach for the numerical simulation of the GEW equation
(International Academic Press, 2016)The generalized equal width (GEW) wave equation is solved numerically by using lumped Galerkin approach with cubic Bspline functions. The proposed numerical scheme is tested by applying two test problems including single ... 
Multiple positive solutions of nonlinear mpoint dynamic equations for pLaplacian on time scales
(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))) ... 
EIGENVALUE PROBLEMS FOR SINGULAR MULTIPOINT DYNAMIC EQUATIONS ON TIME SCALES
(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 ... 
A NEW APPROACH FOR NUMERICAL SOLUTION OF LINEAR AND NONLINEAR SYSTEMS
(KOREAN SOC COMPUTATIONAL & APPLIED MATHEMATICS & KOREAN SIGCAM, 2017)In this study, Taylor matrix algorithm is designed for the approximate solution of linear and nonlinear differential equation systems. The algorithm is essentially based on the expansion of the functions in differential ... 
APPLICATION OF THE COLLOCATION METHOD WITH BSPLINES TO THE GEW EQUATION
(KENT STATE UNIVERSITYETNA, DEPT MATHEMATICS & COMPUTER SCIENCE, KENT, OH 442420001, 2017)In this paper, the generalized equal width (GEW) wave equation is solved numerically by using a quintic Bspline collocation algorithm with two different linearization techniques. Also, a linear stability analysis of the ... 
On the existence of positive solutions of the pLaplacian dynamic equations on time scales
(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 ... 
On the existence of positive solutions of the pLaplacian dynamic equations on time scales
(WILEY, 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 THE pLAPLACIAN DYNAMIC EQUATIONS ON TIME SCALES WITH SIGN CHANGING NONLINEARITY
(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 ...