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Boundary value problems at resonance for vector second order nonlinear ordinary differential equations

Mawhin, J. — 1979

Equadiff IV

Bounded solutions of second order semicoercive evolution equations in a Hilbert space and of nonlinear telegraph equations.

Mawhin, J. — 2000

Rendiconti del Seminario Matematico

Variational and topological methods for Dirichlet problems with $p$ -Laplacian.

Dinca, G.; Jebelean, P.; Mawhin, J. — 2001

Portugaliae Mathematica. Nova Série

Boundary value problems for nonlinear perturbations of some ϕ-Laplacians

J. Mawhin — 2007

Banach Center Publications

This paper surveys a number of recent results obtained by C. Bereanu and the author in existence results for second order differential equations of the form (ϕ(u'))' = f(t,u,u') submitted to various boundary conditions. In the equation, ϕ: ℝ → ≤ ]-a,a[ is a homeomorphism such that ϕ(0) = 0. An important motivation is the case of the curvature operator, where ϕ(s) = s/√(1+s²). The problems are reduced to fixed point problems in suitable function space, to which Leray-Schauder...

Critical points of convex perturbations of some indefinite quadratic forms and semi-linear boundary value problems at resonance

J. Mawhin; M. Willem — 1986

Annales de l'I.H.P. Analyse non linéaire

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Currently displaying 1 – 5 of 5

Boundary value problems at resonance for vector second order nonlinear ordinary differential equations

Bounded solutions of second order semicoercive evolution equations in a Hilbert space and of nonlinear telegraph equations.

Variational and topological methods for Dirichlet problems with $p$ -Laplacian.

Boundary value problems for nonlinear perturbations of some ϕ-Laplacians

Critical points of convex perturbations of some indefinite quadratic forms and semi-linear boundary value problems at resonance

Advanced Search

Formula preview

Currently displaying 1 – 5 of 5

Boundary value problems at resonance for vector second order nonlinear ordinary differential equations

Bounded solutions of second order semicoercive evolution equations in a Hilbert space and of nonlinear telegraph equations.

Variational and topological methods for Dirichlet problems with p -Laplacian.

Boundary value problems for nonlinear perturbations of some ϕ-Laplacians

Critical points of convex perturbations of some indefinite quadratic forms and semi-linear boundary value problems at resonance

Variational and topological methods for Dirichlet problems with $p$ -Laplacian.