On the variational principle

Keywords

Mathematics, Differentiable function, Geodesic, Variational principle, Mathematical analysis

References

• Cours d'automatique théorique: R. Paullu De La Barriere. Paris, Dunod, 1966, XIV + 404 pp. 68 Fr☆P.I. Kuznetzov, A.S. Prokof'ev — 1967
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• Geodesics on Hilbert ManifoldsNathaniel Grossman — 1967
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• Foundations of global non-linear analysisRichard S. Palais — 1968
• Espace des mitriques riemanniennes et mouvement des fluides via les varietes d'applicationsDavid G. Ebin — 1972
• Topologie faible sur des variétés de Banach. Application aux géodésiques des variétés de SobolevJean‐Paul Penot — 1974
• Morse theory and a non-linear generalization of the Dirichlet problemStephen T. Smale — 1964
• A generalized Morse theoryRichard S. Palais, Stephen T. Smale — 1964
• On Nearest Points of Sets in Uniformly Convex Banach SpacesMichael Edelstein — 1968
• Farthest points of sets in uniformly convex banach spacesMichael Edelstein — 1966
• Sur le contr?le optimal de syst?mes gouvern?s par des equations elliptiquesIvar Ekeland — 1972
• Fréchet differentiability of convex functionsEdgar Asplund — 1968
• Morse theory on Hilbert manifoldsRichard S. Palais — 1963
• Analyse convexe et problèmes variationnelsIvar Ekeland, Roger Témam — 1974
• Normal solvability for nonlinear mappings into Banach spacesFelix E. Browder — 1971
• On the subdifferentiability of convex functionsArne Brøndsted, R. T. Rockafellar — 1965
• Topological methods in the theory of nonlinear integral equationsE. H. Rothe, M. A. Krasnosel’skii, A. H. Armstrong — 1968
• Annales de l'Institut Henri PoincaréH. T. H. P. — 1931
• Functional analysisWalter Rudin — 1973

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• Nonsmooth equations in optimizationDiethard Klatte, Kummer, Bernd — 2002
• Three positive solutions for a semilinear elliptic equation in R N involving sign-changing weightTsung‐fang Wu — 2011
• Estimate of Periodic Suboptimal ControlsG. Grammel — 1998
• Metric Inequality, Subdifferential Calculus and ApplicationsHuynh Van Ngai, Michel Théra — 2001
• Mathematical Methods of Analysis for Control and Dynamic Optimization Problems on ManifoldsRobert J. Kipka — 2014
• Optimal Hoffman-Type Estimates in Eigenvalue and Semidefinite Inequality ConstraintsDominique Az, Jean‐Baptiste Hiriart‐Urruty — 2002
• Variational principles on metric and uniform spacesAndreas H. Hamel — 2005
• Optimal Control of Population DynamicsViorel Barbu, Mimmo Iannelli — 1999
• A SADDLE POINT THEOREM FOR NON-SMOOTH FUNCTIONALS AND PROBLEMS AT RESONANCEConstantin P. Niculescu — 1996
• Limit Superior of Subdifferentials of Uniformly Convergent FunctionsAbderrahim Jourani — 1999
• Models Linking Epidemiology with Immunology and EcologyEric Numfor — 2014
• Two-component nonlinear Schrodinger systems with trap potential functionTai‐Chia Lin, Tsung‐fang Wu — 2008
• L'INSTITUT FOURIERMihai Mih — 2008
• ZHONG'S VARIATIONAL PRINCIPLE IS EQUIVALENT WITH EKELAND'SMihai Turinici, Seminarul Matematic, A. Myller — 2005
• Stochastic Maximum Principle for Near-Optimal Control of FBSDEsLiangquan Zhang, Jianhui Huang, Xun Li — 2012
• ON THE COMPACTNESS OF THE FIXED POINT SETSorin Mureşan — 2008
• Suboptimal Control of a Semilinear Elliptic Equation with a Phase Constraint and a Boundary ControlМ. И. Сумин — 2001
• Multiple solutions of a Schrödinger type semilinear equationXiaochun Liu, Jianfu Yang — 2000
• Near-Optimal Controls of a Class of Volterra Integral SystemsLijun Pan, Kok Lay Teo — 1999

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