Differential and Integral Equations · 1990 · 25 citations · 2 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsFluid DynamicsBoundary ConditionsBoundary-value ProblemsExistence TheoryInitial Value ProblemsPartial Differential EquationsElliptic Boundary-value ProblemsHyperbolic Boundary-value ProblemsHyperbolic Partial Differential EquationsNonlinear Boundary-value ProblemsNonlinear Partial Differential EquationsParabolic Partial Differential Equations
Hyperbolic equations of neutral type are studied and sufficient conditions are given that every solution of certain boundary value problems has a zero in bounded domains. The results are based on the condition for the non-existence of positive solutions of ordinary differential inequalities.
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