Positive solutions for second-order nonlinear differential equations

DOI10.1016/j.na.2005.07.010zbMath1101.34022OpenAlexW2066012219MaRDI QIDQ2492457

Mats Ehrnström

Publication date: 9 June 2006

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.07.010

zbMATH Keywords

positive solutionnonlinear differential equation

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (23)

Positive stationary solutions of convection-diffusion equations for superlinear sources ⋮ Positive solutions of some elliptic differential equations with oscillating nonlinearity ⋮ Positive evanescent solutions of nonlinear elliptic equations ⋮ On the existence of nonautonomous ODE with application to semilinear elliptic equations ⋮ On the asymptotic integration of nonlinear differential equations ⋮ On positive solutions of a class of nonlinear elliptic equations ⋮ Uncountable sets of finite energy solutions for semilinear elliptic problems in exterior domains ⋮ Multiplicity of positive solutions for singular elliptic problems ⋮ EXISTENCE OF POSITIVE EVANESCENT SOLUTIONS TO SOME QUASILINEAR ELLIPTIC EQUATIONS ⋮ A note on oscillatory integration ⋮ A note on the existence and properties of evanescent solutions for nonlinear elliptic problems ⋮ ASYMPTOTIC INTEGRATION OF SECOND-ORDER NONLINEAR DIFFERENCE EQUATIONS ⋮ Basic existence, uniqueness and approximation results for positive solutions to nonlinear dynamic equations on time scales ⋮ Prescribed asymptotic behaviour of solutions to semilinear ordinary differential equations ⋮ Oscillatory solutions for second-order difference equations in Hilbert spaces ⋮ A Riccatian approach to the decay of solutions of certain semi-linear PDE's ⋮ The continuous dependence on parameters of solutions for a class of elliptic problems on exterior domains ⋮ EXISTENCE OF MONOTONIC ASYMPTOTICALLY CONSTANT SOLUTIONS FOR SECOND ORDER DIFFERENTIAL EQUATIONS ⋮ Asymptotic behavior of solutions to an integral equation underlying a second-order differential equation ⋮ A note on positive evanescent solutions for a certain class of elliptic problems ⋮ Existence of global positive solutions of semilinear elliptic equations ⋮ Asymptotic behavior of solutions to a vector integral equation with deviating arguments ⋮ Increasing sequences of positive evanescent solutions of nonlinear elliptic equations

Cites Work

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• Stability of solution sets of differential equations with multivalued right-hand side
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• Global existence of solutions for perturbed differential equations
• On second-order non-linear oscillations
• Existence of positive solutions of quasilinear elliptic equations
• ON THE ASYMPTOTIC BEHAVIOUR OF THE SOLUTIONS TO A CLASS OF SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS
• Applications of phase plane analysis of a Liénard system to positive solutions of Schrödinger equations
• Positive solutions of quasilinear elliptic equations

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