Applied Analysis and Differential Equations: Iasi, Romania, by Ovidiu Carja, Ioan I. Vrabie

By Ovidiu Carja, Ioan I. Vrabie

This quantity comprises refereed examine articles written through specialists within the box of utilized research, differential equations and similar themes. recognized best mathematicians around the globe and renowned younger scientists disguise a various variety of themes, together with the main intriguing contemporary advancements. A extensive variety of themes of modern curiosity are handled: life, forte, viability, asymptotic balance, viscosity suggestions, controllability and numerical research for ODE, PDE and stochastic equations. The scope of the booklet is huge, starting from natural arithmetic to varied utilized fields reminiscent of classical mechanics, biomedicine, and inhabitants dynamics

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Extra info for Applied Analysis and Differential Equations: Iasi, Romania, 4-9 September 2006

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I. Vrabie, Compactness methods and flow-invariance for perturbed nonlinear semigroups, An. S ¸ tiint¸. Univ. Al. I. Cuza Ia¸si Sect¸. , 27 (1981), 117–125. ro The aim of this paper is to present a short survey of several new results concerning optimization of hyperbolic discrete inclusions. We study an optimization problem given by a hyperbolic discrete inclusion with end point constraints and we present several approaches concerning first and second-order necessary optimality conditions for this problem.

3. I. I. Vrabie, C0 -Semigroups and Applications, (North-Holland Mathematics Studies, 191 (2003). 4. H. , 4 (1980), 985–999. 5. O. Cˆ arj˘ a, M. Necula and I. I. Vrabie, Viability, Invariance and Applications, (North-Holland Mathematics Studies, 207), in print. 6. H. Bouligand, Sur les surfaces d´epourvues de points hyperlimit´es, Ann. Soc. Polon. , 9, (1930). 7. N. H. , 1 (1977), 187–196. 8. O. Cˆ arj˘ a and I. I. , 4 (1997), 401– 424. 9. O. Cˆ arj˘ a and I. I. Vrabie, Differential Equations on Closed Sets, in Handbook of Differential Equations, Ordinary Differential Equations, 2, Edited by A.

5. M. Bostan, Periodic solutions for evolution equations, (Electronic J. Differential Equations, Monograph 3 2002), 41 pp. 6. G. Barles, Solutions de Viscosit´e des Equations de Hamilton-Jacobi, (SpringerVerlag, 1994). 7. -L. Lions, G. S. Varadhan, Homogeneization of Hamilton-Jacobi equations, preprint. com We consider a reaction-diffusion system of the form   u (t) = Au(t) + F (u(t), v(t)), t ≥ 0 v (t) = Bv(t) + G(u(t), v(t)), t ≥ 0  u(0) = ξ, v(0) = η, where X and Y are real Banach spaces, K is a nonempty and locally closed subset in X × Y, A : D(A) ⊆ X → X, B : D(B) ⊆ Y → Y are the generators of two C0 -semigroups, {SA (t) : X → X; t ≥ 0} and {SB (t) : Y → Y ; t ≥ 0} respectively, F : K → X, G : K → Y, are continuous such that A + F and B + G are of compact type.

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Applied Analysis and Differential Equations: Iasi, Romania, by Ovidiu Carja, Ioan I. Vrabie
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