6533b85cfe1ef96bd12bd5ca

RESEARCH PRODUCT

ON SOLVABILITY OF THE DAMPED FUČÍK TYPE PROBLEM WITH INTEGRAL CONDITION

Natalija Sergejeva

subject

Mathematical analysisSpectrum (functional analysis)damping termType (model theory)Fučík problemspectrumTerm (time)Nonlinear systemregions of solvabilityModeling and SimulationBounded functionQA1-939Boundary value problemMathematicsAnalysisMathematics

description

The solvability results are established for the boundary value problem with a damping term , x(0) = 0, where x + = max{x, 0}, x - = max{-x, 0}, h is a bounded nonlinearity, µ, λ real parameters. The existence results are based of the knowledge of the Fučík type spectrum for the problem with h ≡ 0

https://doi.org/10.3846/13926292.2014.927014