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Article information
2003 , Volume 8, ¹ 4, p.45-54
Zamyshlyaeva A.A.
Phase spaces of some class of linear second order Sobolev type equations
Cauchy problem for the linear non-homogeneous second order Sobolev type equation is considered. The algorithm for construction of the phase space for this equation is suggested, the simple solvability Cauchy problem is determined. All abstract results are illustrated to an initial boundary value problem for Boussinesq- Love equation modeling the longitudinal oscillations of a beam.
[full text] Classificator Msc2000:- *34G10 Linear equations
- 47N20 Applications to differential and integral equations
Keywords: degenerate differential equation in Banach space, Cauchy problem
Author(s):
Zamyshlyaeva Alena Aleksandrovna
Office: Chelyabinsk state university
Address: 620034, Russia, Chelyabinsk
E-mail: alzam@csu.ac.ru
Bibliography link:
Zamyshlyaeva A.A. Phase spaces of some class of linear second order Sobolev type equations // Computational technologies. 2003. V. 8. ¹ 4. P. 45-54
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