On the Uniqueness Theorem for Generalized Solutions of Initial-Boundary Problems for the Marguerre-Vlasov Vibrations of Shallow Shells with Clamped Boundary Conditions

Applied Mathematics and Optimization

Volumn 39, Issue 2-3, 1999, Pages 309-326

  Sedenko, V I ^a  

^a Department of Mathematics   (Russian Federation)

Author keywords

Enclosure theorem; Estimates; Generalized solutions; Integral inequalities; Smoothing operators; Uniqueness

Indexed keywords

BOUNDARY CONDITIONS; MATHEMATICAL OPERATORS; SHELLS (STRUCTURES); STRUCTURAL ANALYSIS; THEOREM PROVING; VIBRATIONS (MECHANICAL);

ENCLOSURE THEOREM; MARGUERRE-VLASOV VIBRATION;

INITIAL VALUE PROBLEMS;

EID: 0033133145     PISSN: 00954616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002459900108     Document Type: Article

References (10)

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4. Sedenko VI (1991) The uniqueness theorem for a generalized solution of the initial-boundary problem about nonlinear oscillations of the shallow shells when inertia of the longitudinal displacements is small. Mechanics of Solids 26: No 6
5. Sedenko VI (1993) Classical solvability of initial-boundary problems about nonlinear oscillations of the shallow shells. Russian Doklady 331: No 3
6. Sedenko VI (1994) On existence in the large with respect to time of classical solutions of the initial-boundary problem for Marguerre-Vlasov nonlinear oscillations of the shallow shells. Russian Izvestiya. North-Caucasus Region, Ser Natural Sciences: No 1-2
7. Sedenko VI (1994) Classical solvability in the large with respect to time of the initial-boundary problem for the Marguerre-Vlasov equations of nonlinear oscillations of the shallow shells. Russian Doklady 340: No 3
8. Sedenko VI (1994) On uniqueness of the generalized solution of the initial-boundary problem for Marguerre-Vlasov nonlinear oscillations of the shallow shells. Russian Izvestiya North-Caucasus Region, Ser Natural Sciences: No 1-2
9. Sedenko VI (1996) Classical solvability of initial-boundary problems for nonlinear oscillations of the shallow shells. Mechanics of Solids 31: No 5
10. Vorovich II (1957) On some direct methods in nonlinear oscillations of shallow shells. Izvestiya USSR Academy, Ser Mathem 21: No 6