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Hille–Wintner type comparison criteria for the half-linear differential equations of third order
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Jozef Kiseľák
Published/Copyright:
October 10, 2014
Abstract
We obtain an analogue of the integral Hille–Wintner comparison theorem for the half-linear differential equations of third order. We also give an example involving a differential equation of Euler type, which gives a condition under which half-linear differential equations have weak property B.
Keywords: Comparison criteria; half-linear differential equation; Kiguradze classes; weak property B
Funding source: VEGA
Award Identifier / Grant number: MŠ SR 1/0344/14
Funding source: PF UPJŠ internal grant system
Award Identifier / Grant number: VVGS-2013-105
I would like to thank Professor Jaroslav Jaroš for his valuable advices.
Received: 2013-5-23
Revised: 2014-2-20
Accepted: 2014-4-3
Published Online: 2014-10-10
Published in Print: 2014-12-1
© 2014 by De Gruyter
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- Frontmatter
- Hille–Wintner type comparison criteria for the half-linear differential equations of third order
- Para-CR structures on almost paracontact metric manifolds
- Growth and Lδ-approximation of solutions of the Helmholtz equation in a finite disk
- Products of Świątkowski and quasi-continuous functions
- q-nonuniform difference linear control systems
- Existence results for the Dirichlet problem of some degenerate nonlinear elliptic equations
- Wolfe-type second-order fractional symmetric duality
- On nonlinear mixed fractional integrodifferential equations with nonlocal condition in Banach spaces
Keywords for this article
Comparison criteria;
half-linear differential equation;
Kiguradze classes;
weak property B
Articles in the same Issue
- Frontmatter
- Hille–Wintner type comparison criteria for the half-linear differential equations of third order
- Para-CR structures on almost paracontact metric manifolds
- Growth and Lδ-approximation of solutions of the Helmholtz equation in a finite disk
- Products of Świątkowski and quasi-continuous functions
- q-nonuniform difference linear control systems
- Existence results for the Dirichlet problem of some degenerate nonlinear elliptic equations
- Wolfe-type second-order fractional symmetric duality
- On nonlinear mixed fractional integrodifferential equations with nonlocal condition in Banach spaces
