Boundary-value problems for weakly nonlinear ordinary differential equations-Reference-Cited by-同舟云学术

Boundary-value problems for weakly nonlinear ordinary differential equations

Published:1976-12 Issue:3 Volume:15 Page:321-328
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Dancer E.N.

Abstract

In this paper, we announce results on the Dirichlet and periodic boundary-value problems for the equation-x″(t) =g(x(t)) –f(t) on [0, π]. We consider degenerate cases not covered by the author's earlier work.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference5 articles.

1. Bounded perturbations of forced harmonic oscillators at resonance

2. On a nonlinear elliptic boundary-value problem

3. [2] Dancer E.N. , “On the Dirichlet problem for weakly nonlinear elliptic partial differential equations”, Proc. Roy. Soc. Edinburgh Sect. A (to appear).

4. Periodic solutions of the equation x″(t) + g(x(t)) = p(t);Fučík;Časopis Pěst. Mat.,1975

5. �ber die Existenz der L�sungen von Randwertaufgaben bei gew�hnlichen nichtlinearen Differentialgleichungen zweiter Ordnung

Cited by 107 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An extension of the Poincaré–Birkhoff Theorem to systems involving Landesman–Lazer conditions;Ricerche di Matematica;2024-07-15

2. Periodic solutions of Hamiltonian systems coupling twist with an isochronous center;Differential and Integral Equations;2024-05-01

3. Multiple periodic solutions of second order parameter-dependent equations via rotation numbers;AIMS Mathematics;2023

4. Periodic solutions of indefinite planar systems with asymmetric nonlinearities via rotation numbers;Mathematical Methods in the Applied Sciences;2022-08-31

5. Unbounded Solutions to a System of Coupled Asymmetric Oscillators at Resonance;Journal of Dynamics and Differential Equations;2022-08-16