Existence of global solutions with prescribed asymptotic behavior for nonlinear ordinary differential equations

DOI10.1007/BF01766602zbMath0593.34039OpenAlexW2020672882MaRDI QIDQ1076211

William F. Trench, Takasi Kusano

Publication date: 1985

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01766602

zbMATH Keywords

oscillationnth order differential equation

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (20)

Asymptotic integration of a class of nonlinear differential equations ⋮ On the asymptotic behavior of solutions of certain forced third order integro-differential equations with \(\delta\)-Laplacian ⋮ Asymptotic linearity of solutions of self-adjoint systems of second order differential equations ⋮ Asymptotic integration of nonlinear \(\phi\)-Laplacian differential equations ⋮ On the asymptotic integration of nonlinear differential equations ⋮ Asymptotic behavior of solutions of forced third-order dynamic equations ⋮ On \(t^2\)-like solutions of certain second order differential equations ⋮ Mild integrability conditions for global solutions of an elliptic equation ⋮ Asymptotic behavior of solutions for a class of fractional integro-differential equations ⋮ Global existence of solutions with prescribed asymptotic behavior for second-order nonlinear differential equations ⋮ Asymptotic to polynomials solutions for nonlinear differential equations ⋮ Positive solutions of nonlinear differential equations with prescribed decay of the first derivative ⋮ POSITIVE INCREASING SOLUTIONS ON THE HALF-LINE TO SECOND ORDER NONLINEAR DELAY DIFFERENTIAL EQUATIONS ⋮ Asymptotic integration of nonlinear differential equations ⋮ Oscillatory and nonoscillatory behavior of a second order functional differential equation ⋮ Asymptotic behavior of solutions of fractional differential equations with Hadamard fractional derivatives ⋮ Convergence of solutions of fractional differential equations to power-type functions ⋮ Note on Periodic and Asymptotically Periodic Solutions of Fractional Differential Equations ⋮ ASYMPTOTIC INTEGRATION OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRODIFFERENTIAL RIGHT-HAND SIDE ⋮ ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

Cites Work

• Asymptotic relationships between two higher order ordinary differential equations
• Positive solutions of a class of second order semilinear elliptic equations in the plane
• Asymptotic theory of perturbed general disconjugate equations
• On a Class of Nonlinear Second-Order Differential Equations
• Global Existence Theorems for Solutions of Nonlinear Differential Equations with Prescribed Asymptotic Behaviour
• Global Positive Solutions of Semilinear Elliptic Equations
• Principal Solutions of Disconjugate n-th Order Linear Differential Equations
• Asymptotic Behaviour of Disconjugate nth Order Differential Equations

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