Nonlinear analysis, 2010-07, Vol.73 (2), p.440-449
2010
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Details
- Autor(en) / Beteiligte
- Titel
- The existence and multiplicity of solutions for an impulsive differential equation with two parameters via a variational method
- Ist Teil von
- Nonlinear analysis, 2010-07, Vol.73 (2), p.440-449
- Ort / Verlag
- Amsterdam: Elsevier Ltd
- Erscheinungsjahr
- 2010
- Quelle
- ScienceDirect
- Beschreibungen/Notizen
- In this paper, we study the existence and multiplicity of classical solutions for a second-order impulsive differential equation with periodic boundary conditions. By using a variational method and critical point theory, we give some new criteria to guarantee that the impulsive problem has at least one solution, two solutions and infinitely many solutions when the parameter pair ( c , λ ) lies in different intervals, respectively. Some examples are given in this paper to illustrate the main results.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0362-546XeISSN: 1873-5215DOI: 10.1016/j.na.2010.03.035Titel-ID: cdi_proquest_miscellaneous_753644541
- Format
- –
- Schlagworte
- Algebra, Boundary conditions, Boundary value problems, Calculus of variations and optimal control, Commutative rings and algebras, Criteria, Critical point, Critical points, Differential equations, Exact sciences and technology, Impulsive differential equations, Intervals, Local linking, Mathematical analysis, Mathematics, Nonlinearity, Numerical analysis, Numerical analysis. Scientific computation, Numerical methods in mathematical programming, optimization and calculus of variations, Numerical methods in optimization and calculus of variations, Ordinary differential equations, Sciences and techniques of general use, Variational method, Variational methods