[PDF] Top 20 Eigenvalues for iterative systems of nonlinear m-point boundary value problems on time scales

... the boundary value problems on time scales, often using Guo-Krasnosel’skii fixed point ...the eigenvalues for iterative system of nonlinear boundary ... See full document

... periodic boundary value problems PBVPs for short for dynamic equations on time scales have been studied by several authors by using the method of lower and upper solutions, fixed ... See full document

... for nonlinear singular boundary value problems has been obtained 5, ...p-Laplacian problems with two-, three-, and m-point boundary conditions for ordinary ... See full document

... on time scales, see ...of m-point integral boundary value problems for nonlinear p-Laplacian dynamic equations on time scales have not been ... See full document

... the nonlinear term does not depend on the first-order derivative, the existence problems of positive solutions of boundary value problems have attracted much attention, see 10, 12, 15– ... See full document

... of nonlinear scalar two-point boundary value problems where the corresponding linear homogeneous boundary value problem has a one dimensional solution ...of ... See full document

... the nonlinear terms f in [13-15] does not depend on the first order delta ...the nonlinear term f depends on the first order delta derivative ...the boundary value problem for an increasing ... See full document

... (2.7) Values of λ for which there are positive solutions (positive with respect to a cone) of (1.2), (1.3) will be determined via applications of the following fixed point-theorem [12]. Theorem 2.1. Let Ꮾ be a ... See full document

... fixed point theorem for operators on cone [37], some existence criteria of positive solution to the problem ...2,..., m , the problem ...2,..., m , the problem ... See full document

... for all r, t ∈ T. If s(t) >t, t is said to be right scattered, and if r(r) <r, r is said to be left scattered. If s(t) = t, t is said to be right dense, and if r(r) = r, r is said to be left dense. If T has a right ... See full document

... p is an increasing function on (0,1). The linear case with more general settings was considered in [2] and a nonlinear case was considered in [3]. The special case consid- ered here requires a different approach to ... See full document

... to boundary value problems with integral boundary conditions due to their various applications in chemical engineering, thermo- elasticity, population dynamics, heat conduction, chemical ... See full document

... approximation problems which are known as sinc-methods; see, ...approximate eigenvalues of boundary value problems; see, for example, ... See full document

... It is easy to show that K : E → E is a completely continuous nonlinear operator and K(P) ⊂ P holds. By [], the spectral radius r(K) of K is positive. The Krein-Rutman theorem [] asserts that there are φ ∈ P \ ... See full document

... equation boundary value problems, we refer to 31, 32 ...periodic boundary value condition, so we call condition ...periodic-like boundary value ...impulsive ... See full document

... The time scale calculus can be applied to any fields in which dynamic processes are described by discrete or continuous time ...and time scale calculus in spectral theory is much less ... See full document

... Proof. This is a special case of Lloyd [15, Theorem 4.4.11]. Recently the study of dynamic equations on time scales has attracted much interest (see [1, 2, 3, 4, 6, 7, 8, 9, 10, 12, 13, 14]). This has been ... See full document

... In this section, we prove an existence theorem of positive solutions for problem P with Dirichlet boundary condition and the existence and nonexistence part of the result for problem P with two-point ... See full document

... In this paper, when pt is a general function, we investigate the existence of solutions and nonnegative solutions for the weighted pt-Laplacian impulsive integrodifferential system with multipoint and integral ... See full document

... fixed point theorem and the concept of lower and upper so- lutions to prove the existence of solutions of ...monotone iterative method for problem ...on time scales the situation is more ... See full document