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Pachpatte, B. G.

Inequalities applicable in the theory of finite difference equations. (English) Zbl 0913.39001

J. Math. Anal. Appl. 222, No. 2, 438-459 (1998).
On nearly 9 pages there are stated 7 theorems concerning nonlinear finite difference inequalities. Some of these inequalities are used to estimate the solution of \(\Delta^2 u(t)= f(t,u(t), \mu)\) with \(u(0)=c\), \(\Delta u(0)= 0\) resp. the difference of two solutions with different \(c\) resp. different \(\mu\).
Reviewer: Lothar Berg (Rostock)

Cited in 1 Review
Cited in 13 Documents

MSC:

39A10 Additive difference equations
26D20 Other analytical inequalities

Keywords:

estimates for solutions of difference equations; nonlinear finite difference inequalities
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\textit{B. G. Pachpatte}, J. Math. Anal. Appl. 222, No. 2, 438--459 (1998; Zbl 0913.39001)
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References:

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