Second variation condition and quadratic integral inequalities with higher order derivatives

DOI10.1023/B:ELAS.0000005583.55075.77zbMath1082.49035OpenAlexW4242470409MaRDI QIDQ1431586

Yi-Chao Chen

Publication date: 11 June 2004

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:elas.0000005583.55075.77

zbMATH Keywords

stabilitycalculus of variationsRiccati equation

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34) Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Linear-quadratic optimal control problems (49N10) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (1)

On the symmetry of energy-minimising deformations in nonlinear elasticity. I: Incompressible materials

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