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Springer Critical Point Theory and Hamiltonian Systems - Applied Mathematical Sciences 74

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Description

This comprehensive volume from Springer presents systematic coverage of critical point theory in infinite dimensional spaces and its powerful applications to nonlinear boundary value problems. The text focuses especially on periodic solutions of Hamiltonian systems, a classical problem that has benefited from remarkable advances over the past decade. The book methodically develops essential tools including minimisation techniques, convex functions and Fenchel transform, dual least action principle, Ekeland variational principle, minimax methods, Lusternik-Schirelmann theory for Z2 and S1 symmetries, and Morse theory. Designed for researchers and graduate students in applied mathematics, engineering physics and related fields, this work provides rigorous theoretical foundations alongside practical problem-solving approaches for complex mathematical systems. The treatment combines classical results with modern developments, making it an authoritative reference for understanding critical point methods in contemporary mathematical analysis.

Key Features

Critical point theory book by Springer covering infinite dimensional spaces and nonlinear boundary value problems with systematic methodological presentation.

Addresses periodic solutions of Hamiltonian systems using advanced mathematical techniques and variational principles for engineering and physics applications.

Includes essential tools such as minimisation, convex functions, Fenchel transform, and Ekeland variational principle for solving complex problems.

Develops Lusternik-Schirelmann theory and Morse theory applicable to Z2 and S1 symmetries in mathematical analysis and differential equations.

Part of Applied Mathematical Sciences series volume 74, providing rigorous theoretical foundations for graduate-level study in applied mathematics.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
08 February 1989
Listed Since
10 December 2006

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