Asymptotic behavior of solutions of third-order differential equations with rapidly varying nonlinearity

  • V. M. Evtukhov Odesa Mechnikov National University
  • N. V. Sharay Odesa Mechnikov National University
Keywords: essentially nonlinear differential equations, rapidly varying nonlinearities, rapidly varying solutions, asymptotic representations.

Abstract

UDC 517.925

For binomial essentially nonlinear nonautonomous differential equations of the third order with rapidly varying nonlinearity, we establish necessary and sufficient conditions of existence of rapidly varying solutions and their asymptotic representations for $t\uparrow\omega$ ($\omega\le +\infty$).

Author Biography

N. V. Sharay , Odesa Mechnikov National University

 

    

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Published
07.07.2022
How to Cite
Evtukhov, V. M., and N. V. Sharay. “Asymptotic Behavior of Solutions of Third-Order Differential Equations With Rapidly Varying Nonlinearity”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, no. 6, July 2022, pp. 800 -16, doi:10.37863/umzh.v74i6.6821.
Section
Research articles