Search results for "damping term"

showing 3 items of 3 documents

Global Non-monotonicity of Solutions to Nonlinear Second-Order Differential Equations

2018

We study behavior of solutions to two classes of nonlinear second-order differential equations with a damping term. Sufficient conditions for the first derivative of a solution x(t) to change sign at least once in a given interval (in a given infinite sequence of intervals) are provided. These conditions imply global non-monotone behavior of solutions.

Differential equationGeneral Mathematics010102 general mathematicsMonotonic functionInterval (mathematics)01 natural sciencesNonlinear differential equationsTerm (time)010101 applied mathematicsSecond order differential equationsNonlinear systemApplied mathematics0101 mathematicsNonlinear differential equations ; non-monotone behaviour ; second order ; damping term ; reciprocal equationSign (mathematics)MathematicsMediterranean Journal of Mathematics
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ON SOLVABILITY OF THE DAMPED FUČÍK TYPE PROBLEM WITH INTEGRAL CONDITION

2014

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

Mathematical analysisSpectrum (functional analysis)damping termType (model theory)Fučík problemspectrumTerm (time)Nonlinear systemregions of solvabilityModeling and SimulationBounded functionQA1-939Boundary value problemMathematicsAnalysisMathematicsMathematical Modelling and Analysis
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A general nonexistence result for inhomogeneous semilinear wave equations with double damping and potential terms

2021

Abstract We investigate the large-time behavior of solutions for a class of inhomogeneous semilinear wave equations involving double damping and potential terms. Namely, we first establish a general criterium for the absence of global weak solutions. Next, some special cases of potential and inhomogeneous terms are studied. In particular, when the inhomogeneous term depends only on the variable space, the Fujita critical exponent and the second critical exponent in the sense of Lee and Ni are derived.

PhysicsInhomogeneous semilinear wave equationPotential termDouble damping termsFujita scaleGeneral MathematicsApplied MathematicsMathematical analysisGlobal solutionGeneral Physics and AstronomyStatistical and Nonlinear PhysicsTerm (logic)Space (mathematics)Wave equation01 natural sciencesCritical exponent010305 fluids & plasmasSettore MAT/05 - Analisi Matematica0103 physical sciences010301 acousticsCritical exponentVariable (mathematics)
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