[PDF] Top 20 Spline solutions for nonlinear two point boundary value problems

... In this paper we shall present some methods for the continuous approximation of the solution of the two point real nonlinear boundary value problem.. by the use of spline functions of or[r] ... See full document

... positive solutions of the p-Laplacian BVP ...fixed point theorems in order to prove the main results and we get the existence of at least one and two positive solutions for nonlinear ... See full document

... Multipoint boundary value problems of ordinary differential equations (BVPs for short) arise in a variety of different areas of applied mathematics and ...multi-point boundary ... 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 our proof, the ... See full document

... many problems in optimal control system, neural network (for example in BAM neural network) and information systems for computational science and engineering (espe- cially in Internet-based computing) can be ... See full document

... Three-point boundary value problems for ordinary differential equations by matching solutions, Nonlinear Anal.. Exlstence-unlqueness theorems for three-polnt.[r] ... See full document

... We construct a higher-order method for the nonlinear problem (1.1). Unlike the previous treatment, this method is designed to work for general p and w which are not even required to be smooth. The higher order of ... See full document

... fixed point index. Second, we apply the Avery–Henderson fixed–point theorem to prove the existence of at least two positive solutions of ...positive solutions of ... See full document

... multipoint boundary value problems by using the fixed-point theorem, the fixed point index theory, and the lower and upper solutions ...positive solutions for the following ... See full document

... linear two point boundary value problems has been dis- cussed by Bickley [1], Fyfe [2], Albasiny and Hoskins [3] and Rubin and Khosla ...cubic spline methods for singular ... See full document

... are two arbitrary constants satisfying b  0, a = − 1 b and f  C a b (    ,  0,  ) , 0,   ) ) ...above boundary value problem exist a unique symmetric positive ...fixed point theorem ... See full document

... Finite Element Method (FEM) is one of the most successful and dominant numerical method in the last century. It is extensively used in modeling and simulation of engineering and science due to its versatility for complex ... See full document

... lower solutions method associated with the Schauder fixed point theorem, the existence results of at least one positive solution for the above fractional q-difference boundary value problem with ... See full document

... For other results on the existence and multiplicity of positive solutions and nodal solutions for boundary value problems of ordinary di ff erential equations based on bifurcation techniq[r] ... See full document

... of nonlinear boundary value problems for both continuous and discrete dynamical ...study nonlinear differential equations subject to two-point boundary conditions, ... See full document

... initial boundary value problems for the nonlinear Klein-Gordon ...of nonlinear partial differen- tial ...analytical solutions when ... See full document

... fixed point theorems are widely used as fundamental tools in order to prove the existence of positive solutions of boundary value problems associated to some differential equations, ... See full document

... s ≥ for all r Î [a, b] and s ≠ 0. In the celebrated study [4], Rabinowitz established Rabinowitz’s global bifurcation theory [[4], Theorems 1.27 and 1.40]. However, as pointed out by Dancer [5,6] and López-Gómez [7], the ... See full document

... some boundary value problems with fractional q-differences have aroused heated discus- sion among many authors ...nontrivial solutions, positive solutions, negative solutions and ... See full document

... integral boundary conditions arise naturally in thermal conduction prob- lems [], semiconductor problems [], hydrodynamic problems ...notes boundary conditions) cover multi-point BCs ... See full document