Oscillation of Nonlinear Impulsive Hyperbolic Equations of Neutral Type

2013 ◽  
Vol 275-277 ◽  
pp. 848-851
Author(s):  
Qing Xia Ma ◽  
Lin Li Zhang ◽  
An Ping Liu
Keyword(s):  
Boundary Condition ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Hyperbolic Equations ◽  
Neutral Type ◽  
Impulsive Differential Equations ◽  
Robin Boundary Condition ◽  
All Solutions ◽  
The Mean ◽  
Robin Boundary

Oscillatory properties of all solutions for nonlinear impulsive hyperbolic equations with delays under the Robin boundary condition are discussed, several criteria are established by the mean method. The results extend the oscillation of impulsive differential equations to impulsive partial differential equations with delays.

Oscillation of Neural Type Nonlinear Impulsive Hyperbolic Equations with Several Delays

2013 ◽  
Vol 275-277 ◽  
pp. 843-847
Author(s):  
Li Xiao ◽  
Ji Chen Yang ◽  
Guang Jie Liu ◽  
An Ping Liu
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Hyperbolic Equations ◽  
Neutral Type ◽  
Sufficient Conditions ◽  
Hyperbolic Partial Differential Equations ◽  
Partial Differential ◽  
Several Delays ◽  
Oscillatory Properties

In this paper, oscillatory properties of solutions for neutral type nonlinear impulsive hyperbolic partial differential equations with several delays are investigated and a series of sufficient conditions for oscillation of the equations are established.

scholarly journals Oscillations of certain partial differential equations with deviating arguments

1992 ◽  
Vol 46 (3) ◽  
pp. 373-380 ◽  
Author(s):  
B.S. Lalli ◽  
Y.H. Yu ◽  
B.T. Cui
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Smooth Boundary ◽  
Hyperbolic Equations ◽  
Neutral Type ◽  
Sufficient Conditions ◽  
Piecewise Smooth Boundary ◽  
Deviating Arguments ◽  
Image Position ◽  
Oscillation Of Solutions

Sufficient conditions are established for the oscillation of solutions of hyperbolic equations of neutral type of the formwhere R+ = {0, ∞), Ω is a bounded domain in Rn with a piecewise smooth boundary ∂Ω.

scholarly journals Solutions for parametric double phase Robin problems

2021 ◽  
Vol 121 (2) ◽  
pp. 159-170 ◽  
Author(s):  
Nikolaos S. Papageorgiou ◽  
Calogero Vetro ◽  
Francesca Vetro
Keyword(s):  
Boundary Condition ◽  
Existence Theorems ◽  
Robin Boundary Condition ◽  
Phase Problem ◽  
Double Phase ◽  
Robin Boundary ◽  
Double Phase Problem

We consider a parametric double phase problem with Robin boundary condition. We prove two existence theorems. In the first the reaction is ( p − 1 )-superlinear and the solutions produced are asymptotically big as λ → 0 + . In the second the conditions on the reaction are essentially local at zero and the solutions produced are asymptotically small as λ → 0 + .

On oscillatory fourth order nonlinear neutral differential equations – III

2018 ◽  
Vol 68 (6) ◽  
pp. 1385-1396 ◽  
Author(s):  
Arun Kumar Tripathy ◽  
Rashmi Rekha Mohanta
Keyword(s):  
Differential Equations ◽  
Fourth Order ◽  
Functional Differential Equations ◽  
Neutral Type ◽  
Sufficient Conditions ◽  
Neutral Differential Equations ◽  
All Solutions ◽  
Functional Differential ◽  
T Tau

Abstract In this paper, several sufficient conditions for oscillation of all solutions of fourth order functional differential equations of neutral type of the form $$\begin{array}{} \displaystyle \bigl(r(t)(y(t)+p(t)y(t-\tau))''\bigr)''+q(t)G\bigl(y(t-\sigma)\bigr)=0 \end{array}$$ are studied under the assumption $$\begin{array}{} \displaystyle \int\limits^{\infty}_{0}\frac{t}{r(t)}{\rm d} t =\infty \end{array}$$

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