[PDF] Top 20 Existence and Uniqueness of Solutions for Higher-Order Three-Point Boundary Value Problems

... Choose αt −t, βt t and γ t t. It is easy to check that αt −t, and βt t are lower and upper solutions of BVP 3.66, 3.67 respectively, and all the assumptions in Theorem 3.2 are satisfied. Therefore by Theorem 3.2 ... See full document

... the existence and uniqueness of smooth positive solutions to a class of singular m-point boundary value problems of second-order ordinary differential ...the ... See full document

... the existence and uniqueness of the solutions for the system of the non- linear first-order ordinary differential equations with three-point and integral boundary ... See full document

... fractional order differential equations in var- ious fields of sciences such as Engineering, Mathematics, Chemistry, etc [10, 11, 15– 17, 21], attracted the interest of many modern ...fractional order ... See full document

... Motivated by above works, under various appropriate assumptions on p , q and K t ( ) , we will obtain the existence and uniqueness of positive solution of problem (1.1) for λ in different circumstances. In ... See full document

... the existence of solutions of ordinary differential equation with the periodic- integral boundary value conditions has been studied in some articles ...[] existence and ... See full document

... fixed point theorem for a class of mixed monotone op- erators, see 6, 14, ...the existence and uniqueness of solutions for the following singular higher-order continuous and ... See full document

... To the authors’ knowledge, no papers have yet dealt with second-order systems of BVPs on time scales. The extension to systems is a natural one; for example, many occur- rences in nature involve two or more ... See full document

... the existence of fixed points in partially or- dered metric ...of boundary value ...fixed point theo- rems to the problem of existence and uniqueness of solutions of first ... See full document

... global existence, the authors of [1] used the Galerkin ap- proximation method and the monotonicity method (see ...the existence and uniqueness of weak solutions to a class of nonlinear beam ... See full document

... fixed point theorem and the contraction mapping principle, the authors estab- lished the existence and uniqueness of nontrivial solutions for BVP ... See full document

... of boundary value problems for ordinary differential equations arises in dif- ferent areas of applied mathematics, physics and so ...The existence of positive solutions for ... See full document

... the existence and uniqueness of solutions for a class of boundary value problems of nonlinear fractional order differential equations involving the Caputo fractional ... See full document

... the existence of solutions or positive solutions for nonlinear singular or nonsingular three-point boundary value problems for third-order ordinary ... See full document

... the existence of solutions to boundary value problems (BVPs) ...the existence and uniqueness of solutions to coupled systems of multi-point boundary ... See full document

... Lemma 2.4 [5] (Krasnoselskii fixed point theorem) Let E be a real Banach space. K ⊂ E is a cone. Suppose γ α , are nonnegative continuous convex functions on K . ϕ is a nonnegative continuous concave function on K ... See full document

... nonlinear boundary value problems in a general Banach ...the problems are called semipositone problems, which occur in chemical rector theory, combustion and management of natural ... See full document

... nth-order three-point boundary value problem is first given, and growth conditions are imposed on nonlinearity f which yield the existence of countably many positive ... See full document

... Now, we prove Theorem . by Lemma .-. and the intermediate value theorem. Proof of Theorem . It is obvious that the right-hand side of (.) is continuously de- pendent on the parameter μ, so we need to ... See full document

... fixed point theorem on cones is applied to obtain the existence of at least two positive solutions of a higher-order three-point boundary value problem for ... See full document