Abstract
We study the existence of positive solutions of the periodic, Neumann or Dirichlet problem for the semilinear equation u″ + f(t, u) = 0, 0 ≤ t ≤ T, where f is a Carathéodory function. Our assumptions in each case are such that the problem possesses a lower solution or an upper solution.
Publisher
Cambridge University Press (CUP)
Reference18 articles.
1. Remarks on multiple periodic solutions for non-linear ordinary differential systems of Liénard type;Zanolin;Boll. Un. Mat. Ital (6) 1-B,1982
2. Symmetry-breaking for positive solutions of semilinear elliptic equations
3. Boundary value problems for some fourth order ordinary differential equations
4. Vanational elliptic problems involving noncoercive functionals
5. [9] Mawhin J. , ‘Problèmes de Dirichlet variationels non linéaires’, in Séminaire de Mathématiques Supérieures 104 (Les Presses de l'Université de Montréal, 1987).
Cited by
18 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