Asymptotic conditions at the two first eigenvalues for the periodic solutions of Liénard differential equations and an inequality of E. Schmidt

DOI10.4171/ZAA/88azbMath0546.34031MaRDI QIDQ798494

Chaitan P. Gupta, Jean Mawhin

Publication date: 1984

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

degree theorynon-resonance conditions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Asymptotic expansions of solutions to ordinary differential equations (34E05) Ordinary differential operators (34L99)

Related Items

Iterative solutions to boundary-value differential equations involving reflection of the argument, On solvability theorems of second-order ordinary differential equations with delay, Existence and uniqueness theorems for boundary value problems involving reflection of the argument, On the existence of periodic solutions of forced Liénard differential equations, A two-point boundary value problem of Dirichlet type with resonance at infinitely many eigenvalues, Solvability of a forced autonomous Duffing's equation with periodic boundary conditions in the presence of damping, Quadratic forms, weighted eigenfunctions and boundary value problems for non-linear second order ordinary differential equations, Periodic solutions of forced Liénard equations with jumping nonlinearities under nonuniform conditions, Periodic solutions of some Lienard and Duffing equations, Sharp non-resonance conditions for periodically perturbed Liènard systems, Asymptotic conditions for the solvability of a fourth order boundary value problem with periodic boundary conditions