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Differential and differential-difference inequalities related to mixed problems for first order partial differential functional equations

Differential and differential-difference inequalities related to mixed problems for first order partial differential-functional equations
Authors: BRANDI, Primo; Kamont Z.; SALVADORI, Anna;

Differential and differential-difference inequalities related to mixed problems for first order partial differential functional equations

Abstract

This paper presents a new approach for the solution of differential and differential-difference inequalities for PDE. It is proposed a very general difference operator which is defined as a weighted value related to 2 points of the mesh and also a discrete version comparison theorem. Applications of the present results to convergence are also presented.

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Italy
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Keywords

Partial differential inequalities and systems of partial differential inequalities, differential inequalities; Functional partial differential equations, Nonlinear first-order PDEs, Partial functional-differential equations, differential-difference inequalities, Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
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