Necessary and sufficient conditions for the existence of positive solution for singular boundary value problems on time scales.
New existence results for higher-order nonlinear fractional differential equation with integral boundary conditions.
New existence theorems of positive solutions for singular boundary value problems.
New results on the positive solutions of nonlinear second-order differential systems.
Non-homogeneous boundary-value problems of higher order differential equations with -Laplacian.
Nonlinear eigenvalue problems for higher order Lidstone boundary value problems.
Nonlinear eigenvalue problems with semipositone structure.
Nonlinear eigenvalues and bifurcation problems for Pucci's operators
Nonlinear singular Navier problem of fourth order.
Nonlinear systems of second-order ODEs.
Nonlinear triple-point problems on time scales.
Nonlocal systems of BVPs with asymptotically superlinear boundary conditions
In this paper we consider a coupled system of second-order boundary value problems with nonlocal, nonlinear boundary conditions, and we examine conditions under which such problems will have at least one positive solution. By imposing only an asymptotic growth condition on the nonlinear boundary functions, we are able to achieve generalizations over existing works and, in particular, we allow for the nonlocal terms to be able to be realized as Lebesgue-Stieltjes integrals possessing signed Borel...
Nonsymmetric solutions of a nonlinear boundary value problem
We study the existence and multiplicity of positive nonsymmetric and sign-changing nonantisymmetric solutions of a nonlinear second order ordinary differential equation with symmetric nonlinear boundary conditions, where both of the nonlinearities are of power type. The given problem has already been studied by other authors, but the number of its positive nonsymmetric and sign-changing nonantisymmetric solutions has been determined only under some technical conditions. It was a long-standing open...
Non-trivial solutions for a two-point boundary value problem
We prove the existence of at least one non-trivial solution for Dirichlet quasilinear elliptic problems. The approach is based on variational methods.
Nontrivial solutions for fractional -difference boundary value problems.