Publication | Open Access
Monotone method for nonlinear second order periodic boundary value problems with Carathéodory functions
66
Citations
5
References
1993
Year
Numerical AnalysisMethod Of Fundamental SolutionLower Solution MethodFree Boundary ProblemGeneralized UpperOscillation TheoryNonlinear EquationNonlinear Hyperbolic ProblemMonotone MethodPeriodic Travelling WaveCarathéodory FunctionsNonlinear ResonanceCarathéodory ConditionsNonlinear Functional Analysis
The purpose of this paper is to study the periodic boundary value problem -u''(t) = f(t,u(t),u'(t)), u(0) = u(2π), u'(0) = u'(2π) when f satisfies the Carathéodory conditions. We show that a generalized upper and lower solution method is still valid, and
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1973 | 82 | |
1990 | 42 | |
1990 | 26 | |
1980 | 18 | |
1973 | 17 |
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