An extremum variational principle for a class of boundary value problems

DOI10.1016/0022-247X(83)90180-4zbMath0514.49009OpenAlexW2082732328MaRDI QIDQ1051243

Teodor M. Atanacković, Djordje S. Djukic

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(83)90180-4

zbMATH Keywords

complementary variational principlesHamiltonian boundary value problems

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Error bounds for boundary value problems involving PDEs (65N15) Boundary value problems for nonlinear higher-order PDEs (35G30) Variational principles in infinite-dimensional spaces (58E30) Hamilton's principle (70H25) Duality theory (optimization) (49N15) Variational principles of physics (49S05)

Related Items (1)

Complementary variational principles with fractional derivatives

Cites Work

• Unnamed Item
• Error bounds via a new extremum variational principle, mean square residual and weighted mean square residual
• On dual-complementary variational principles in mathematical physics
• Application of Rall's theorem to classical elastodynamics
• Integral inequalities for two functions
• Numerical methods of high-order accuracy for nonlinear boundary value problems. I: One dimensional problem
• Dual extremum principles and error bounds for a class of boundary value problems
• Pairs of Complementary Variational Principles

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