On Asymptotic Behavior of Blow-Up Solutions to Higher-Order Differential Equations with General Nonlinearity View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2018

AUTHORS

Irina V. Astashova

ABSTRACT

New results are proved on the asymptotic behavior of blow-up solutions to a higher-order equation with general potential are proved. Several author’s results are presented concerning both positive and oscillatory solutions to equations with regular and singular nonlinearities. Some applications of the results obtained are proposed.

PAGES

1-12

References to SciGraph publications

  • 2005-01. Application of dynamical systems to the study of asymptotic properties of solutions to nonlinear higher-order differential equations in JOURNAL OF MATHEMATICAL SCIENCES
  • 2001-09. On periodic solutions of even-order ordinary differential equations in ANNALI DI MATEMATICA PURA ED APPLICATA (1923 -)
  • 2013-12. On power and non-power asymptotic behavior of positive solutions to Emden-Fowler type higher-order equations in ADVANCES IN DIFFERENCE EQUATIONS
  • 2015-03. On the Number of Zeros of Oscillating Solutions of the Third- and Fourth-Order Equations with Power Nonlinearities in JOURNAL OF MATHEMATICAL SCIENCES
  • 2015-06. Positive Solutions with Nonpower Asymptotic Behavior and Quasiperiodic Solutions to an Emden–Fowler Type Higher Order Equations in JOURNAL OF MATHEMATICAL SCIENCES
  • 1976. The Hopf Bifurcation Theorem for Diffeomorphisms in THE HOPF BIFURCATION AND ITS APPLICATIONS
  • 1999-10. On Kneser solutions of higher order nonlinear ordinary differential equations in ARKIV FÖR MATEMATIK
  • 2014-12. On quasi-periodic solutions to a higher-order Emden-Fowler type differential equation in BOUNDARY VALUE PROBLEMS
  • 2016. On Asymptotic Classification of Solutions to Nonlinear Regular and Singular Third- and Fourth-Order Differential Equations with Power Nonlinearity in DIFFERENTIAL AND DIFFERENCE EQUATIONS WITH APPLICATIONS
  • 1993. Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations in NONE
  • 2013-12. Asymptotic problems for fourth-order nonlinear differential equations in BOUNDARY VALUE PROBLEMS
  • 2014. Theory of Third-Order Differential Equations in NONE
  • Book

    TITLE

    Differential and Difference Equations with Applications

    ISBN

    978-3-319-75646-2
    978-3-319-75647-9

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-3-319-75647-9_1

    DOI

    http://dx.doi.org/10.1007/978-3-319-75647-9_1

    DIMENSIONS

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