Abstract
We study the bihavior of solutions of the problem εu″(t)+u′(t)+Au(t)+Bu(t) = f(t), u(0) = u o , u′(0) = u 1 in the Hilbert space H as ε → 0, where A is linear, symmetric, continuous and strong positive operator and B is nonlinear lipschitzian operator.
The original version of this chapter was revised: The copyright line was incorrect. This has been corrected. The Erratum to this chapter is available at DOI: 10.1007/978-0-387-35690-7_44
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M.M. Lavrenitiev, K.G. Reznitscaia, B.G.Iahno. The inverse one-dimentional problems from mathematecal physics. “Nauka”, Novosibirsk, 1982 (in Russian).
V.Barbu. Semigroups of nonlinear contractions in Banach spaces. Bucarest, Ed. Acad. Rom., 1974 (in Rumanian).
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© 2003 IFIP International Federation for Information Processing
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Perjan, A. (2003). Singular Perturbations of Hyperbolic-Parabolic Type. In: Barbu, V., Lasiecka, I., Tiba, D., Varsan, C. (eds) Analysis and Optimization of Differential Systems. SEC 2002. IFIP — The International Federation for Information Processing, vol 121. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-35690-7_30
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DOI: https://doi.org/10.1007/978-0-387-35690-7_30
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