Bilgisayar Bilimleri Fakültesi/Faculty of Computer Sciences
Recent Submissions

A collocation algorithm based on quintic Bsplines for the solitary wave simulation of the GRLW equation
(SHARIF UNIV TECHNOLOGY, PO BOX 111558639, TEHRAN, 00000, IRAN, 01.11.2019)In this article, a collocation algorithm based on quintic Bsplines is proposed to find a numerical solution to the nonlinear Generalized Regularized Long Wave (GRLW) equation. Moreover, to analyze the linear stability of ... 
A Modified Multiple Shooting Algorithm for Parameter Estimation in ODEs Using Adjoint Sensitivity Analysis
(ELSEVIER SCIENCE INC, STE 800, 230 PARK AVE, NEW YORK, NY 10169 USA, FEB 1 2021)To increase the predictive power of a model, one needs to estimate its unknown parameters. Almost all parameter estimation techniques in ordinary differential equation models suffer from either a small convergence region ... 
Existence of positive solutions for nonlinear multipoint pLaplacian dynamic equations on time scales
(SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEYTUBITAK, ATATURK BULVARI NO 221, KAVAKLIDERE, TR06100 ANKARA, TURKEY, 08.05.2020)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 to multipoint third order problems with sign changing nonlinearities
(UNIV TARTU PRESS, 1 W STRUVE ST, TARTU, 50091, ESTONIA, JUN 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 ... 
On the existence of positive solutions for the secondorder boundary value problem
(Elsevier Ltd, 2015)bstract 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, ... 
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 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 multiple positive solutions for pLaplacian multipoint boundary value problems on time scales
(SPRINGEROPEN, CAMPUS, 4 CRINAN ST, LONDON, N1 9XW, ENGLAND, 2013)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 ... 
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))) ... 
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 ... 
An introduction to nonsmooth convex analysis via multiplicative derivative
(TAYLOR & FRANCIS LTD, 24 PARK SQUARE, MILTON PARK, ABINGDON OR14 4RN, OXON, ENGLAND, 2019)In this study, *directional derivative and *subgradient are defined using the multiplicative derivative, making a new contribution to nonNewtonian calculus for use in nonsmooth analysis. As for directional derivative ... 
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 ... 
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 ...