Search results for "nonexistence of solutions"

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A geometrical criterion for nonexistence of constant-sign solutions for some third-order two-point boundary value problems

2020

We give a simple geometrical criterion for the nonexistence of constant-sign solutions for a certain type of third-order two-point boundary value problem in terms of the behavior of nonlinearity in the equation. We also provide examples to illustrate the applicability of our results.

Applied MathematicsMathematical analysislcsh:QA299.6-433lcsh:AnalysisType (model theory)nonexistence of solutionsthird-order two-point boundary value problemsNonlinear systemThird orderSimple (abstract algebra)comparison methods for the first zero functionsBoundary value problemConstant (mathematics)Value (mathematics)AnalysisMathematicsSign (mathematics)Nonlinear Analysis
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