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Boundary value problems for strongly nonlinear equations under a Wintner-Nagumo growth condition
MARCELLI, Cristina - Personal Name
PAPALINI, Francesca - Personal Name
We study the following strongly nonlinear differential equation: (a(t, x(t))(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. MS
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E-Jurnal
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Subject(s)
Laplacian
second order differential equations
nonlinear boundary conditions
Sturm-Liouville conditions
periodic problems
Neumann problems
ower and upper solutions
fixed point techniques
nonlinear differential operators
Wintner-Nagumo growth condition
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Statement of Responsibility
Cristina Marcelli, Francesca Papalini
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