0000000000542076

AUTHOR

Arnold Lepin

showing 2 related works from this author

On Some Properties of the Dirichlet Problem at Resonance

2008

Abstract The boundary value problem at resonance 𝑥″ + 𝑥 = 𝑞 sin 𝑡 + 𝑓(𝑡,𝑥,𝑥′), 𝑥(0) = 0, 𝑥(π) = 0, is considered, where 𝑓 : [0,π] × 𝑹2 → 𝑹 is a bounded Carathéodory function, 𝑞 is a parameter. We state the multiplicity results without assuming that 𝑓 has limits.

CombinatoricsDirichlet problemsymbols.namesakeMathematics Subject ClassificationGeneral MathematicsBounded functionDirichlet boundary conditionFree boundary problemsymbolsBoundary value problemFunction (mathematics)Elliptic boundary value problemMathematicsgmj
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On Boundary Value Problems for ϕ-Laplacian on the Semi-Infinite Interval

2017

The Dirichlet problem and the problem with functional boundary condition for ϕ-Laplacian on the semi-infinite interval are studied as well as solutions between the lower and upper functions.

Dirichlet problem010102 general mathematicsMathematical analysislower and upper functionsMixed boundary conditionMathematics::Spectral Theory01 natural sciencesRobin boundary conditionElliptic boundary value problemϕ-Laplacian010101 applied mathematicssymbols.namesakeModeling and SimulationDirichlet boundary conditionboundary value problemFree boundary problemsymbolsNeumann boundary conditionQA1-939Boundary value problem0101 mathematicsAnalysisMathematicsMathematicsMathematical Modelling and Analysis
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