Large-time behavior of the difference of solutions of two evolution equation
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2018-02-22 14:09
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PERJAN, Andrei, RUSU, Galina. Large-time behavior of the difference of solutions of two evolution equation. In: Conference of Mathematical Society of the Republic of Moldova, 28 iunie - 2 iulie 2017, Chişinău. Chişinău: Centrul Editorial-Poligrafic al USM, 2017, 4, pp. 317-320. ISBN 978-9975-71-915-5.
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Conference of Mathematical Society of the Republic of Moldova
4, 2017
Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chişinău, Moldova, 28 iunie - 2 iulie 2017

Large-time behavior of the difference of solutions of two evolution equation

Pag. 317-320

Perjan Andrei, Rusu Galina
 
Moldova State University
 
 
Disponibil în IBN: 5 octombrie 2017


Rezumat

In a real Hilbert space H we consider a linear self-adjoint positive definite operator A : V = D(A) ⊂ H → H and investigate the behavior of the difference u − v of solutions to the problems _ u′′(t) u′(t) Au(t) = f(t), t > 0, u(0) = u0, u′(0) = u1, _ v′(t) Av(t) = f(t), t > 0, v(0) = u0, where u0, u1 ∈ H, f : [0, ∞) → H.

Cuvinte-cheie
large-time behavior, abstract first order differential equation, abstract second order differential equation,

a priori estimate