Improvement of Numerical Solution of Boundary Layer Problems by Incorporation of Asymptotic Approximations.
Impulsive boundary value problems for -Laplacian’s via critical point theory
In this paper we investigate the existence of solutions to impulsive problems with a -Laplacian and Dirichlet boundary value conditions. We introduce two types of solutions, namely a weak and a classical one which coincide because of the fundamental lemma of the calculus of variations. Firstly we investigate the existence of solution to the linear problem, i.e. a problem with a fixed rigth hand side. Then we use a direct variational method and next a mountain pass approach in order to get the existence...
Impulsive boundary-value problems for first-order integro-differential equations.
Impulsive differential inclusions with constraints.
Impulsive periodic boundary value problem
In the paper we consider the impulsive periodic boundary value problem with a general linear left hand side. The results are based on the topological degree theorems for the corresponding operator equation on a certain set that is established using properties of strict lower and upper functions of the boundary value problem.
Impulsive periodic boundary value problems for dynamic equations on time scale.
Inclusion Statements for Operator Equations by a Continuity Principle.
Inequalities among eigenvalues of second-order symmetric equations on time scales.
Inequalities among eigenvalues of Sturm-Liouville problems.
Inequalities and eigenvalues of Sturm-Liouville problems near a singular boundary.
Inequalities for eigenvalue functionals.
Infinitely many homoclinic orbits for Hamiltonian systems with group symmetries.
Infinitely many radial solutions for a sub-super critical Dirichlet boundary value problem in a ball.
Infinitely many solutions at a resonance.
Infinitely many solutions for a boundary value problem with discontinuous nonlinearities.
Infinitely many solutions for a mixed boundary value problem
The existence of infinitely many solutions for a mixed boundary value problem is established. The approach is based on variational methods.
Infinitely many solutions for systems of n two-point Kirchhoff-type boundary value problems
Using Ricceri's variational principle, we establish the existence of infinitely many solutions for a class of two-point boundary value Kirchhoff-type systems.
Infinitely many solutions of a second-order -Laplacian problem with impulsive condition
Using the critical point theory and the method of lower and upper solutions, we present a new approach to obtain the existence of solutions to a -Laplacian impulsive problem. As applications, we get unbounded sequences of solutions and sequences of arbitrarily small positive solutions of the -Laplacian impulsive problem.
Initial value parameters corresponding to positive Green's functions
Instability and exact multiplicity of solutions of semilinear equations.