Titlebook: Index theory in nonlinear analysis; Chungen Liu Book 2019 Springer Nature Singapore Pte Ltd. 2019 Maslov type index.Morse index.P-index.L-

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Maslov Type Index for Lagrangian Paths,Let . be the standard symplectic space with .. For ., there holds . A Lagrangian subspace . is a dimensional . subspace with . for all .., ..?∈?.t

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Revisit of Maslov Type Index for Symplectic Paths,We recall that . is a symplectic space, and . is the symplectic group of .. That is . We denote by . the set of continuous and piecewise smooth symplectic paths starting from . and . the set of Lagrangian subspaces of .. We recall that .. We also denote by . the set of continuous and piecewise smooth symplectic paths.

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The Existence and Multiplicity of Solutions of Wave Equations,In this chapter, we apply the index theories defined in Chap. . to study the existence and multiplicity of solutions of wave equations. We will use the same concepts and notations as in Sect. ..

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https://doi.org/10.1007/978-981-13-7287-2Maslov type index; Morse index; P-index; L-index; nonlinear Hamiltonian systems; existence and multiplici

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