Superconvergence for Galerkin Methods for the Two Point Boundary Problem Via Local Projections.
Surjectivity results for nonlinear mappings without oddness conditions
Surjectivity results of Fredholm alternative type are obtained for nonlinear operator equations of the form , where is invertible, and satisfy various types of homogeneity conditions. We are able to answer some questions left open by Fuč’ık, Nečas, Souček, and Souček. We employ the concept of an -stably-solvable operator, related to nonlinear spectral theory methodology. Applications are given to a nonlinear Sturm-Liouville problem and a three point boundary value problem recently studied...
Symmetric positive solutions for nonlinear singular fourth-order eigenvalue problems with nonlocal boundary condition.
System of fractional differential equations with Erdélyi-Kober fractional integral conditions
In this paper we study existence and uniqueness of solutions for a system consisting from fractional differential equations of Riemann-Liouville type subject to nonlocal Erdélyi-Kober fractional integral conditions. The existence and uniqueness of solutions is established by Banach’s contraction principle, while the existence of solutions is derived by using Leray-Schauder’s alternative. Examples illustrating our results are also presented.
Systems of differential inclusions in the absence of maximum principles and growth conditions
This article investigates the existence of solutions to second-order boundary value problems (BVPs) for systems of ordinary differential inclusions. The boundary conditions may involve two or more points. Some new inequalities are presented that guarantee a priori bounds on solutions to the differential inclusion under consideration. These a priori bound results are then applied, in conjunction with appropriate topological methods, to prove some new existence theorems for solutions to systems of...
Test for disconjugacy of a differential inclusion of neutral type.
The Cauchy-Nicoletti problem with poles.
The existence and uniqueness of positive solutions for integral boundary value problems.
The existence of countably many positive solutions for nonlinear th-order three-point boundary value problems.
The existence of positive solution to a nonlinear fractional differential equation with integral boundary conditions.
The existence of positive solutions for third-order -Laplacian -point boundary value problems with sign changing nonlinearity on time scales.
The Fučík spectra for multi-point boundary-value problems.
The method of solution of the boundary value problem applied to a certain fourth order differential equation
The shooting method and multiple solutions of two/multi-point BVPs of second-order ODE.
The shooting method and nonhomogeneous multipoint bvps of second-order ODE.
The solution of the two-point boundary value problem for a nonlinear differential equation of the third order
The upper and lower solution method for nonlinear third-order three-point boundary value problem.
Third-order nonlocal problems with sign-changing nonlinearity on time scales.
Three point boundary value problem for singularly perturbed semilinear differential equations.
Three point value problem for third-order linear differential equation