### Yazar "Karaca, Ilkay Yaslan" seçeneğine göre listele

Listeleniyor 1 - 20 / 43

###### Sayfa Başına Sonuç

###### Sıralama seçenekleri

Öğe Discrete third-order three-point boundary value problem(Elsevier Science Bv, 2007) Karaca, Ilkay YaslanDaha fazla We are concerned with the discrete boundary value problem Lx(t) := Delta(3)x(t) = f (t, x(t + 1)) t(1) <= t <= t(3) - 1, x(t(1)) =0, alpha x(t(2))-beta Delta x(t(2))=0, gamma x(t(3))+delta Delta(2)x(t(3))=0, and the eigenvalue problem Delta(3)x(t) =)lambda f(t, x(t + 1)) with the same boundary conditions where t(1) < t(2) < t(3) are distinct integers. Under various assumptions on f and),, we prove the existence of positive solutions of both problems by applying a fixed point theorem. (C) 2006 Elsevier B.V. All rights reserved.Daha fazla Öğe EIGENVALUES FOR ITERATIVE SYSTEMS OF DYNAMIC EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS(Ankara Univ, Fac Sci, 2015) Karaca, Ilkay Yaslan; Fen, Fatma TokmakDaha fazla In this paper, we establish criterion which determine the eigenvalues lambda(1), lambda(2), ..., lambda(n), for the existence of at least one positive solution for the iterative systems of dynamic equations with integral boundary conditions. By this purpose, we use a fixed point theorem in a cone. Examples are also given to show applicability of our main result.Daha fazla Öğe Existence and nonexistence of positive solutions to a right-focal boundary value problem on time scales(Hindawi Publishing Corporation, 2006) Karaca, Ilkay YaslanDaha fazla We are concerned with proving the existence of one or more than one positive solution of an n-point right-focal boundary value problem for the nonlinear dynamic equation (-1)(n-1)x(Delta n)(t) =lambda r( t) f(t, x(sigma) (t)). We will also obtain criteria which lead to nonexistence of positive solutions. Here the independent variable t is in a time scale. We will use fixed point theorems for operators on a Banach space. Copyright (c) 2006 Ilkay Yaslan Karaca.Daha fazla Öğe EXISTENCE OF POSITIVE SOLUTIONS FOR A NONLINEAR nTH-ORDER m-POINT p-LAPLACIAN IMPULSIVE BOUNDARY VALUE PROBLEM(Walter De Gruyter Gmbh, 2017) Karaca, Ilkay Yaslan; Fen, Fatma TokmakDaha fazla In this paper, six functionals fixed point theorem is used to investigate the existence of at least three positive solutions for a nonlinear nth-order m-point p-Laplacian impulsive boundary value problem. As an application, we give an example to demonstrate our result. (C) 2017 Mathematical Institute Slovak Academy of SciencesDaha fazla Öğe Existence of positive solutions for fourth-order impulsive integral boundary value problems on time scales(Wiley, 2017) Fen, Fatma Tokmak; Karaca, Ilkay YaslanDaha fazla This paper is devoted to the existence of positive solutions for a fourth-order impulsive boundary value problem with integral boundary conditions on time scales. Existence results of at least two and three positive solutions are established via the double fixed point theorem and six functionals fixed point theorem, respectively. Also, an example is given to illustrate the theoretical results. Copyright (c) 2017 John Wiley & Sons, Ltd.Daha fazla Öğe Existence of Positive Solutions for Nonlinear Second-Order Impulsive Boundary Value Problems on Time Scales(Springer Basel Ag, 2016) Fen, Fatma Tokmak; Karaca, Ilkay YaslanDaha fazla This paper is concerned with the existence of positive solutions of second-order impulsive boundary value problem with integral boundary conditions on time scales. Existence results of at least three positive solutions are established via a new fixed point theorem in a cone. Also, an example is given to illustrate the effectiveness of our result.Daha fazla Öğe Existence of Positive Solutions for Nonlinear Third-Order m-Point Boundary Value Problems on Time Scales(Univ Nis, Fac Sci Math, 2014) Karaca, Ilkay Yaslan; Tokmak, FatmaDaha fazla In this paper, we investigate the existence of double positive solutions for nonlinear third-order m-point boundary value problems with p-Laplacian on time scales. By using double fixed point theorem, we establish results on the existence of two positive solutions with suitable growth conditions imposed on the nonlinear term. As an application, we give an example to demonstrate our main result.Daha fazla Öğe Existence of Positive Solutions for Second Order Impulsive Differential Equations with Integral Boundary Conditions on the Real Line(Univ Nis, Fac Sci Math, 2021) Karaca, Ilkay Yaslan; Aksoy, SezgiDaha fazla This paper is denoted to study the existence of impulsive differential equations involving integral boundary conditions on the whole line by means of the Leray-Schauder Nonlinear Alternative theorem. An example is demonstrated the effectiveness of the our main result.Daha fazla Öğe Existence of Positive Solutions for Third-Order m-Point Boundary Value Problems with Sign-Changing Nonlinearity on Time Scales(Hindawi Publishing Corporation, 2012) Tokmak, Fatma; Karaca, Ilkay YaslanDaha fazla A four-functional fixed point theorem and a generalization of Leggett-Williams fixed point theorem are used, respectively, to investigate the existence of at least one positive solution and at least three positive solutions for third-order m-point boundary value problem on time scales with an increasing homeomorphism and homomorphism, which generalizes the usual p-Laplacian operator. In particular, the nonlinear term f(t, u) is allowed to change sign. As an application, we also give some examples to demonstrate our results.Daha fazla Öğe EXISTENCE OF POSITIVE SOLUTIONS TO nTH ORDER p-LAPLACIAN BOUNDARY VALUE PROBLEMS WITH INTEGRAL BOUNDARY CONDITIONS(Univ Miskolc Inst Math, 2016) Karaca, Ilkay Yaslan; Fen, Fatma TokmakDaha fazla This work is devoted to the existence of positive solutions for an nth order p-Laplacian boundary value problem with integral boundary conditions. The proof of the main result is based on six functionals fixed point theorem. As an application, we give an example to illustrate the obtained result.Daha fazla Öğe Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations with p-Laplacian Operator(Hindawi Ltd, 2014) Karaca, Ilkay Yaslan; Tokmak, FatmaDaha fazla This paper studies the existence of solutions for a nonlinear boundary value problem of impulsive fractional differential equations with p-Laplacian operator. Our results are based on some standard fixed point theorems. Examples are given to show the applicability of our results.Daha fazla Öğe Existence of symmetric positive solutions for a multipoint boundary value problem with sign-changing nonlinearity on time scales(Springer International Publishing Ag, 2013) Tokmak, Fatma; Karaca, Ilkay YaslanDaha fazla In this paper, we make use of the four functionals fixed point theorem to verify the existence of at least one symmetric positive solution of a second-order m-point boundary value problem on time scales such that the considered equation admits a nonlinear term f whose sign is allowed to change. The discussed problem involves both an increasing homeomorphism and homomorphism, which generalizes the p-Laplacian operator. An example which supports our theoretical results is also indicated. MSC: 34B10, 39A10.Daha fazla Öğe Existence of symmetric positive solutions for a multipoint boundary value problem with sign-changing nonlinearity on time scales(Springer International Publishing Ag, 2013) Tokmak, Fatma; Karaca, Ilkay YaslanDaha fazla In this paper, we make use of the four functionals fixed point theorem to verify the existence of at least one symmetric positive solution of a second-order m-point boundary value problem on time scales such that the considered equation admits a nonlinear term f whose sign is allowed to change. The discussed problem involves both an increasing homeomorphism and homomorphism, which generalizes the p-Laplacian operator. An example which supports our theoretical results is also indicated. MSC: 34B10, 39A10.Daha fazla Öğe EXISTENCE OF THREE POSITIVE SOLUTIONS FOR M-POINT TIME SCALE BOUNDARY VALUE PROBLEMS ON INFINITE INTERVALS(Dynamic Publishers, Inc, 2011) Karaca, Ilkay Yaslan; Tokmak, FatmaDaha fazla In this paper, by using the Leggett-Williams fixed point theorem and Five Functionals fixed point theorem, we establish the existence of three positive solutions for at-point time scale boundary value problems on infinite intervals. As an application, we also give some examples to demonstrate our results.Daha fazla Öğe FOURTH-ORDER M-POINT BOUNDARY VALUE PROBLEMS ON TIME SCALES(Dynamic Publishers, Inc, 2010) Karaca, Ilkay Yaslan; Yilmaz, OzlemDaha fazla Let T be a time scale with [a, b] subset of T. We establish criteria for existence of one or more than one positive solutions of the non-eigenvalue problem (0.1) {y Delta(4)(t) - q(t)y Delta(2) (sigma(t)) = f(t, y(t)) = f(t,y(t)), t is an element of [a, b] subset of T, y(a) = Sigma(m-2)(i=1) a(i)y(xi(i)), y(sigma(2)(b)) = Sigma(m-2)(i=1) b(i)y(xi(i)), y Delta(2)(a) = Sigma(m-2)(i=1) a(i)y Delta(2)(xi(i)), y Delta(2)(sigma(2)(b)) = Sigma(m-2)(i=1) b(i)y Delta(2)(xi(i)), where xi(i) is an element of (a, b), a(i), b(i) is an element of [0, infinity) (for i is an element of {1, 2, ... , m - 2}) are given constants. Later, we consider the existence and multiplicity of positive solutions for the eigenvalue problem y Delta(4) (t) - q(t)y Delta(2) (sigma(t)) = lambda f (t, y(t)) with the same boundary conditions. We shall also obtain criteria which lead to nonexistence of positive solutions. In both problems, we will use Krasnoselskii fixed point theorem.Daha fazla Öğe Higher-order three-point boundary value problem on time scales(Pergamon-Elsevier Science Ltd, 2008) Anderson, Douglas R.; Karaca, Ilkay YaslanDaha fazla In this paper, we consider a higher-order three-point boundary value problem on time scales. We study the existence of solutions of a non-eigenvalue problem and of at least one positive solution of an eigenvalue problem. Later we establish the criteria for the existence of at least two positive solutions of a non-eigenvalue problem. Examples are also included to illustrate our results. (C) 2008 Elsevier Ltd. All rights reserved.Daha fazla Öğe Multiple positive solutions for dynamic m-point boundary value problems(Dynamic Publishers, Inc, 2008) Karaca, Ilkay YaslanDaha fazla In this paper, we consider a second order m-point boundary value problem for dynamic equations on time scales. First, we establish criteria for the existence of one or more than one positive solution of a non-eigenvalue problem. Second, we consider the existence and multiplicity of positive solutions for an eigenvalue problem. We shall also obtain criteria which lead to nonexistence of positive solutions. In both problems, we will use fixed point theorems for operators on a Banach space.Daha fazla Öğe Multiple Positive Solutions for Nonlinear Second-Order m-Point Impulsive Boundary Value Problems on Time Scales(Univ Nis, Fac Sci Math, 2015) Karaca, Ilkay Yaslan; Fen, Fatma TokmakDaha fazla In this paper, by using fixed point index theory, we study the existence of positive solutions for nonlinear second-order m-point impulsive boundary value problems on time scales. As an application, we give an example to demonstrate our results.Daha fazla Öğe MULTIPLE POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR P-LAPLACIAN IMPULSIVE DYNAMIC EQUATIONS ON TIME SCALES(House Book Science-Casa Cartii Stiinta, 2014) Karaca, Ilkay Yaslan; Ozen, Ozlem Batit; Tokmak, FatmaDaha fazla In this paper, by using the classical fixed-point index theorem for compact maps and Leggett-Williams fixed point theorem, some sufficient conditions for the existence of multiple positive solutions for a class of second-order p-Laplacian boundary value problem with impulse on time scales are established. We also give an example to illustrate our resultsDaha fazla Öğe Nonlinear triple-point problems with change of sign(Pergamon-Elsevier Science Ltd, 2008) Karaca, Ilkay YaslanDaha fazla In this paper, we study the existence of at least one or two positive solutions to the second-order triple-point nonlinear boundary value problem y"(x) + h(x) F(y(x)) = 0. x epsilon [a,b] y(a) = alpha y(eta), y(b) = beta y9 eta) where 0 < alpha < beta < 1 and eta epsilon (a, b). Here h changes sign in eta. As an application, we also give some examples to demonstrate Our results. (c) 2007 Elsevier Ltd. All rights reserved.Daha fazla

- «
- 1 (current)
- 2
- 3
- »