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SM ISO690:2012 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 |
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Conferința "Conference of Mathematical Society of the Republic of Moldova" Chişinău, Moldova, 28 iunie - 2 iulie 2017 | ||||||
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Pag. 317-320 | ||||||
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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. |
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Cuvinte-cheie large-time behavior, abstract first order differential equation, abstract second order differential equation, a priori estimate |
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