Existence of solutions to second-order boundary-value problems with small perturbations of impulses
Copyright policy )Existence of solutions to second-order boundary-value problems with small perturbations of impulses
Summary: We study second-order impulsive differential equations with Dirichlet boundary conditions, depending on two real parameters. We show that an appropriate growth condition of the nonlinear term, under small perturbations of impulsive terms, ensures the existence of three solutions. The approach is based on variational methods.
- University of Messina Italy
Dirichlet boundary condition, impulsive effects, Nonlinear boundary value problems for ordinary differential equations, critical points, Parameter dependent boundary value problems for ordinary differential equations, Applications of variational problems in infinite-dimensional spaces to the sciences, variational methods, Critical points; Dirichlet boundary condition; Impulsive effects; Variational methods, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Boundary value problems with impulses for ordinary differential equations, QA1-939, Mathematics
Dirichlet boundary condition, impulsive effects, Nonlinear boundary value problems for ordinary differential equations, critical points, Parameter dependent boundary value problems for ordinary differential equations, Applications of variational problems in infinite-dimensional spaces to the sciences, variational methods, Critical points; Dirichlet boundary condition; Impulsive effects; Variational methods, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Boundary value problems with impulses for ordinary differential equations, QA1-939, Mathematics
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