We study the following strongly nonlinear differential equation (a(t,x(t))Phi(x'(t)))'= f(t,x(t),x'(t)) a.e. in [0,T] subjected to various boundary conditions including, as particular cases, the classical Dirichlet, periodic, Neumann and Sturm-Liouville problems. We adopt the method of lower and upper solutions, requiring a weak form of a Wintner-Nagumo growth condition.
Boundary value problems for strongly nonlinear equations under a Wintner-Nagumo growth condition
Marcelli, c;Papalini, F.
2017-01-01
Abstract
We study the following strongly nonlinear differential equation (a(t,x(t))Phi(x'(t)))'= f(t,x(t),x'(t)) a.e. in [0,T] subjected to various boundary conditions including, as particular cases, the classical Dirichlet, periodic, Neumann and Sturm-Liouville problems. We adopt the method of lower and upper solutions, requiring a weak form of a Wintner-Nagumo growth condition.File in questo prodotto:
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