Advances in Hamiltonian, Elliptic Problems and Critical Point Theory

Bücher

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This book covers results in a special class of Dynamical Systems called Hamiltonian Systems and Critical Points Theory as an investigative tool for existence and multiplicity of solutions. It is a demonstration of applications of Critical Points Theorems (in a minimax sense) such as Ricceri's classical Three Critical Points Theorem, Rabinowitz's Linking Theorem and the Mountain Pass Theorem to selected classes of Hamiltonian Systems. The book is a useful manual for graduate classes in Hamiltonian Systems and the general genre of Partial Differential Equations. For Researchers in the mathematical fields, who are interested in applied Hamiltonian Linear Systems, the works of Van Der Schaft, Gerritsen, Heemels, Breedveld, and Maschke severally on Port-Hamiltonian Linear Systems, Linear Switched Systems, Passive Linear Systems, and Linear State Space Systems are reported in a condensed manner.