Displaying similar documents to “Some observations on a Conti's result”

A Gronwall-like inequality and its applications

Adrian Constantin (1990)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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A generalized Gronwall-like inequality is established and applied in obtaining a right saturated solution for a class of differential equations and in estimating the solution of an evolution equation for the so called hidden variables.

Substitution method for generalized linear differential equations

Dana Fraňková (1991)

Mathematica Bohemica

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The generalized linear differential equation d x = d [ a ( t ) ] x + d f where A , f ∈ B V n l o c ( J ) and the matrices I - Δ - A ( t ) , I + Δ + A ( t ) are regular, can be transformed d y d s = B ( s ) y + g ( s ) using the notion of a logarithimc prolongation along an increasing function. This method enables to derive various results about generalized LDE from the well-known properties of ordinary LDE. As an example, the variational stability of the generalized LDE is investigated.