Optimal impulsive space trajectories based on linear equations
Journal of Optimization Theory and Applications
A critical point theorem without compactness and applications
Nonlinear Analysis: Theory, Methods & Applications
Periodic boundary value problems for first-order impulsive ordinary differential equations
Nonlinear Analysis: Theory, Methods & Applications
Periodic boundary value problems for second-order impulsive integro-differential equations
Journal of Computational and Applied Mathematics
Boundary value problems for a class of impulsive functional equations
Computers & Mathematics with Applications
Mathematical and Computer Modelling: An International Journal
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In this paper, we study the existence of solutions for a class of second-order impulsive differential equation. By using the critical point theorem of Y. Jabri and an even functional theorem, we give some new criteria to guarantee that the impulsive differential equation has at least one solution, infinitely many solutions under the assumption that a nonlinear term satisfies sublinear, superlinear, asymptotically linear, respectively. Some recent results are extended and conditions of assumptions are simplified. Finally, some examples are presented to illustrate our main results.