Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems

Journal of Differential Equations

Volumn 176, Issue 2, 2001, Pages 445-469

  Rachůnková, Irena ^a   Tvrdý, Milan ^b   Vrkoč, Ivo ^b  

^a PALACKÝ UNIVERSITY   (Czech Republic)

^b MATHEMATICAL INSTITUTE   (Czech Republic)

Author keywords

Attractive and repulsive singularity; Differential inequalities; Duffing equation; Lower and upper functions; Nonnegative solution; Nonpositive solution; Periodic solution; Second order nonlinear ordinary differential equation

Indexed keywords

EID: 0035506592     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.2000.3995     Document Type: Article

References (11)

1. T-periodic solutions for some second order differential equations with singularities
2. Subharmonic solutions for some second-order differential equations with singularities
3. Periodic solutions of some Liénard equations with singularities
4. On periodic solutions of nonlinear differential equations with singularities
5. Topological degree and boundary value problems for nonlinear differential equations
6. Existence of multiple solutions for some nonlinear boundary value problems
7. Necessary and sufficient conditions for the existence of periodic solutions of second order ordinary differential equations with singular nonlinearities
8. Nonlinear systems of differential inequalities and solvability of certain nonlinear second order boundary value problems
9. Positive solutions for a class of semilinear two-point boundary value problems
10. Comparison of two definitions of lower and upper functions of nonlinear second order differential equations
11. A relationship between the periodic and the Dirichlet BVP's of singular differential equations