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                                       Details for article 10 of 13 found articles
 
 
  Oscillation theorems concerning non-linear differential equations of the second order
 
 
Title: Oscillation theorems concerning non-linear differential equations of the second order
Author: E.M. Elabbasy
Sh.R. Elzeiny
Appeared in: Opuscula mathematica
Paging: Volume 31 (2011) nr. 3 pages 373-391
Year: 2011
Contents: This paper concerns the oscillation of solutions of the differential eq. $$ \left[ r\left( t\right) \psi \left(x\left( t\right) \right) f\text{ }( \overset{\cdot }{x}(t))\right]^{\cdot }+q\left( t\right) \varphi (g\left( x\left( t\right) \right), r\left( t\right) \psi \left( x\left( t\right) \right) f(\overset{\cdot }{x}(t)))=0,$$ where $u\varphi \left( u,v\right) >0$ for all $u\neq 0,$ $xg\left( x\right) >0,$ $xf\left( x\right)>0$ for all $x\neq 0,$ $\psi \left( x\right) >0$ for all $x\in \mathbb{R},$ $r\left( t\right) >0$ for $t\geq t_{0}>0$ and $q$ is of arbitrary sign. Our results complement the results in [A.G. Kartsatos, On oscillation of nonlinear equations of second order, J. Math. Anal. Appl. 24 (1968), 665–668], and improve a number of existing oscillation criteria. Our main results are illustrated with examples.
Publisher: AGH University of Science and Technology (provided by DOAJ)
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

                             Details for article 10 of 13 found articles
 
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