scholarly journals Property A of differential equations with positive and negative term

2017 ◽  
pp. 1-7
Author(s):  
Jozef Džurina ◽  
Blanka Baculíková
Keyword(s):  
Differential Equations ◽  
Property A ◽  
Negative Term

Property (A) of third-order advanced differential equations

2014 ◽  
Vol 64 (2) ◽  
Author(s):  
J. Džurina ◽  
B. Baculíková
Keyword(s):  
Differential Equations ◽  
Oscillation Theory ◽  
Comparison Theorems ◽  
Property A ◽  
Third Order ◽  
Nonlinear Functional ◽  
Deviating Argument ◽  
Advanced Argument ◽  
Functional Differential ◽  
Gamma S

AbstractIn the paper we offer criteria for property (A) of the third-order nonlinear functional differential equation with advanced argument $(a(t)(x'(t))^\gamma )'' + p(t)f(x(\sigma (t))) = 0,$, where $\mathop \smallint \limits^\infty a^{ - 1/\gamma } (s)ds = \infty $. We establish new comparison theorems for deducing property (A) of advanced differential equations from that of ordinary differential equations without deviating argument. The presented comparison principle fill the gap in the oscillation theory.

On solutions of third order nonlinear differential equations

2006 ◽  
Vol 4 (1) ◽  
pp. 46-63 ◽  
Author(s):  
Ivan Mojsej ◽  
Ján Ohriska
Keyword(s):  
Differential Equations ◽  
Nonlinear Equations ◽  
Nonlinear Differential Equations ◽  
Asymptotic Properties ◽  
Property A ◽  
Comparison Result ◽  
Third Order ◽  
Deviating Arguments ◽  
Deviating Argument ◽  
The Third

AbstractThe aim of our paper is to study oscillatory and asymptotic properties of solutions of nonlinear differential equations of the third order with deviating argument. In particular, we prove a comparison theorem for properties A and B as well as a comparison result on property A between nonlinear equations with and without deviating arguments. Our assumptions on nonlinearity f are related to its behavior only in a neighbourhood of zero and/or of infinity.

scholarly journals On Third Order Differential Equations with Property A and B

1999 ◽  
Vol 231 (2) ◽  
pp. 509-525 ◽  
Author(s):  
Mariella Cecchi ◽  
Zuzana Došlá ◽  
Mauro Marini
Keyword(s):  
Differential Equations ◽  
Property A ◽  
Third Order
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