[PDF] Top 20 Two-point boundary value problems for higher-order linear differential equations with strong singularities

... Remark 1.13. The above-given conditions on the unique solvability of problems (1.1), (1.2) and (1.1), (1.3) are optimal since, as Example 1.8 shows, in Theorems 1.9, 1.11 and Corollaries 1.10, 1.12 none of strict ... See full document

... for two- point boundary value problems for ordinary differential equations, Nonlin- ear Analysis: Theory, Methods and Applications, 33, No 5 (1998), ... See full document

... For n = 2, v = 0, in the case of ordinary differential equations, BVPs analogous to (1.1) with singularity has been widely studies by many authors, see,for example, [12,15-17]. For the case τ = 0, v = 0, ... See full document

... of boundary value problems of nonlinear fractional integro-differential equations involving Caputo fractional derivative by using the techniques such as fractional calculus, H¨ older ... See full document

... In this paper, a Chebyshev finite difference method has been proposed in order to solve nonlinear two-point boundary value problems for second order nonlinear ... See full document

... fractional order differential equations has emerged as an important area of ...fractional order differential equations satisfying initial (or) boundary conditions to ... See full document

... 2. Exact discretization of the problem. In this section, we present the exact dis- cretization of (1.1). We first introduce special sets of basis functions that we use for the discretization. Then we get a system of ... See full document

... of boundary-value problems with integral boundary conditions for differ- ential equations has become an important area of investigation in recent ...for boundary value ... See full document

... and boundary value problems for nonlinear differential equations,” in Topological Methods for Ordinary Differential Equations, ...Nonlinear Boundary Value Problems, ... See full document

... of problems with mass and heat diffusion, one frequently desires to solve second order non-linear ordinary differential equations involving conditions at two ...Well two ... See full document

... nonlocal boundary value problems, and one of the first of these was ...multipoint boundary value problems for second-order linear ordinary differential ... See full document

... of two-point boundary value problems for a class of ordinary differential equations which can be derived from the maximum principle in optimal control ...such equations are ... See full document

... solving two-point boundary value problem for certain ordinary differential ...The two point boundary value problems have great importance in chemical ... See full document

... the two-point right-focal boundary value problems for strongly singular higher-order nonlinear functional-differential ...the two-point right-focal problem ... See full document

... Boundary value problems for second and higher order nonlinear differential equations play a very important role in both theory and ...a boundary value ... See full document

... This paper is organized as follows. In Section 2, we first introduce some definitions and a fixed-point theorem, which is the generalized form of the Leggett-Williams fixed- point theorem, founded in Avery and ... See full document

... We study the general semilinear second-order ODE u gt, u, u 0 under different two- point boundary conditions. Using the method of upper and lower solutions, we obtain an existence result. ... See full document

... two point boundary value problem associated with coupled second order equations to which a fourth order linear differential equation is reduced... An attractive feature.[r] ... See full document

... Those papers include solution of partial differential equations [1], two-point boundary value problems [2], integro-differential equations [3], second-kind integral equations [5], Fredho[r] ... See full document

... some boundary value conditions; these estimates form a basis for the construction of a complete theory of initial and boundary value problems for differential equations and ... See full document