Georgian Mathematical Journal · 2000 · 28 citations · 2 references
Natural SciencesMathematicsDifferential EquationsBoundary ConditionsBoundary-value ProblemsExistence TheoryInitial Value ProblemsOperator TheoryPartial Differential EquationsElliptic Boundary-value ProblemsExistence Of MinimizersFunctional EquationsMultipoint Boundary Value ProblemsNonlinear Boundary-value ProblemsParabolic Boundary-value ProblemsStability Of Functional Differential Equations
Abstract Sufficient conditions are found for the existence of an upper and a lower solutions of the boundary value problem where and are linear bounded operators, and and are continuous, generally speaking nonlinear, operators. Kamke type theorems are proved on functional differential inequalities.
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