Oscillation of a class of nonlinear partial difference equations with continuous variables
β Scribed by Y. Guo; A. Liu; T. Liu; Q. Ma
- Publisher
- Springer US
- Year
- 2011
- Tongue
- English
- Weight
- 168 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1536-0059
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π SIMILAR VOLUMES
This paper is devoted to a class of linear impulsive partial difference equations with continuous variables. We establish a difference inequality without impulses, and use it to obtain various sufficient conditions for the oscillation of solutions.
For the partial difference equations ## A(x -a, y) -F A(x, y -b) -A(x, y) + P(x, y)A(x + T, y + a) = 0 and A(x -a, y) + A(x, y -b) -A(x, y) ~-f(x, y, A(x T β’, y + q)) = O, we shall obtain sufficient conditions for the oscillation of all solutions of these equations. (~) 2001 Elsevier Science Ltd.
In this paper, we are mainly concerned with the second order nonlinear difference equation with continuous variable. Here, by using the iterated integral transformations, generalized Riccati transformations, and integrating factors, we give some oscillatory criteria for this equation.
This paper is concerned with the linear delay partial difference equation aAm+l,n+l ~ bAm+l,n ~ cAm,n+1 -dAm,n ~-pm,nAm-a,n-~" = O, where a and ~-are two nonnegative integers, a, b, c, and d are positive constants, and {Pl,j}, i,j ~ No is a double real sequence. Sufficient conditions for this equati