On oscillation of solutions of hyperbolic equations with continuous distributed deviating arguments

2012 ◽  
Author(s):  
Xiaojing Wang ◽  
Yan Zhang ◽  
Shixiang Liu
Keyword(s):  
Hyperbolic Equations ◽  
Deviating Arguments ◽  
Distributed Deviating Arguments ◽  
Oscillation Of Solutions

scholarly journals Improved Oscillation Criteria for 2nd-Order Neutral Differential Equations with Distributed Deviating Arguments

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 849
Author(s):  
Osama Moaaz ◽  
Rami Ahmad El-Nabulsi ◽  
Waad Muhsin ◽  
Omar Bazighifan
Keyword(s):  
Differential Equations ◽  
Sufficient Conditions ◽  
Second Order ◽  
Deviating Arguments ◽  
Oscillation Criteria ◽  
Comparison Principles ◽  
Neutral Differential Equations ◽  
Distributed Deviating Arguments ◽  
Oscillation Of Solutions

In this study, we establish new sufficient conditions for oscillation of solutions of second-order neutral differential equations with distributed deviating arguments. By employing a refinement of the Riccati transformations and comparison principles, we obtain new oscillation criteria that complement and improve some results reported in the literature. Examples are provided to illustrate the main results.

scholarly journals Oscillation criteria for nonlinear inhomogeneous hyperbolic equations with distributed deviating arguments

1996 ◽  
Vol 9 (1) ◽  
pp. 21-31 ◽  
Author(s):  
Xinzhi Liu ◽  
Xilin Fu
Keyword(s):  
Boundary Conditions ◽  
Hyperbolic Equations ◽  
Differential Inequalities ◽  
Green's Theorem ◽  
Deviating Arguments ◽  
Oscillation Criteria ◽  
Different Boundary Conditions ◽  
Green’S Theorem ◽  
Distributed Deviating Arguments ◽  
Oscillatory Properties

This paper investigates the oscillatory properties of solutions of nonlinear inhomogeneous hyperbolic equations with distributed deviating arguments subject to two different boundary conditions. Several oscillation criteria are establishing employing Green's Theorem and certain differential inequalities. An example is also given.

scholarly journals Oscillation Theorems for Even Order Damped Equations with Distributed Deviating Arguments

2013 ◽  
Vol 2013 ◽  
pp. 1-10
Author(s):  
Chunxia Gao ◽  
Peiguang Wang
Keyword(s):  
Differential Equations ◽  
Deviating Arguments ◽  
Distributed Deviating Arguments ◽  
Even Order ◽  
Oscillation Theorems ◽  
New Criteria ◽  
Oscillation Of Solutions

A class of even order damped differential equations with distributed deviating arguments are investigated. Several new criteria that ensure the oscillation of solutions are obtained. To demonstrate the validity of the results obtained, two examples are given.

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