Bulletin of the Australian Mathematical Society · 1976 · 111 citations · 3 references
Natural SciencesMathematicsDifferential EquationsBoundary ConditionsBoundary-value ProblemsInitial Value ProblemsMoving Boundary ProblemsPartial Differential EquationsWeak FormulationDirichlet PrincipleDirichlet ProblemsElliptic Boundary-value ProblemsInitial-boundary Value ProblemsNonlinear Boundary-value ProblemsNonlinear Partial Differential EquationsParabolic Boundary-value ProblemsPeriodic Solutions Of Differential Equations
In this paper, we announce results on the Dirichlet and periodic boundary-value problems for the equation -x ″( t ) = g ( x ( t )) – f ( t ) on [0, π]. We consider degenerate cases not covered by the author's earlier work.
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