Van Yüzüncü Yıl University Academic Data Management System · 2005 · 35 citations · 3 references
Natural SciencesMathematicsDifferential EquationsDynamical SystemsBoundary ConditionsBoundary-value ProblemsExistence TheoryInitial Value ProblemsPartial Differential EquationsStability TheoryBoundedness AnalysisNonlinear Boundary-value ProblemsNonlinear Initial Value ProblemsNonlinear Stability
ABSTRACT. Sufficient conditions are established for the boundedness of all solutions of (1.1), and we also present some sufficient conditions, which ensure that the limits of first and second order derivatives of the solutions of (1.1) tend to zero as t → ∞. Our results improve and include those results obtained by previous authors ([3], [5]). Key words and phrases: Differential equations of third order, Boundedness. 2000 Mathematics Subject Classification. Primary: 34C11; Secondary: 34B15. 1.
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