000890636 000__ 02461cam\a2200433Ii\4500 000890636 001__ 890636 000890636 005__ 20230306150115.0 000890636 006__ m\\\\\o\\d\\\\\\\\ 000890636 007__ cr\cn\nnnunnun 000890636 008__ 190528s2019\\\\si\\\\\\ob\\\\001\0\eng\d 000890636 019__ $$a1105196565 000890636 020__ $$a9789811372872$$q(electronic book) 000890636 020__ $$a981137287X$$q(electronic book) 000890636 020__ $$z9789811372865 000890636 0247_ $$a10.1007/978-981-13-7$$2doi 000890636 035__ $$aSP(OCoLC)on1102592956 000890636 035__ $$aSP(OCoLC)1102592956$$z(OCoLC)1105196565 000890636 040__ $$aN$T$$beng$$erda$$epn$$cN$T$$dEBLCP$$dN$T$$dLQU$$dGW5XE$$dUKMGB 000890636 049__ $$aISEA 000890636 050_4 $$aQA321.5 000890636 08204 $$a515/.7248$$223 000890636 1001_ $$aLiu, Chungen,$$eauthor. 000890636 24510 $$aIndex theory in nonlinear analysis /$$cChungen Liu. 000890636 264_1 $$aSingapore :$$bSpringer,$$c[2019] 000890636 300__ $$a1 online resource. 000890636 336__ $$atext$$btxt$$2rdacontent 000890636 337__ $$acomputer$$bc$$2rdamedia 000890636 338__ $$aonline resource$$bcr$$2rdacarrier 000890636 504__ $$aIncludes bibliographical references and index. 000890636 5050_ $$aLinear Algebraic Aspects -- A brief introduction to index functions -- Relative Morse index -- The P-index theory -- The L-index theory -- Maslov type index for Lagrangian paths -- Revisit of Maslov type index for Symplectic Paths -- Applications of P-index -- Applications of L-index -- Multiplicity of brake orbits on a fixed energy surface -- The existence and multiplicity of solutions of wave equations. 000890636 506__ $$aAccess limited to authorized users. 000890636 520__ $$aThis book provides detailed information on index theories and their applications, especially Maslov-type index theories and their iteration theories for non-periodic solutions of Hamiltonian systems. It focuses on two index theories: L-index theory (index theory for Lagrangian boundary conditions) and P-index theory (index theory for P-boundary conditions). In addition, the book introduces readers to recent advances in the study of index theories for symmetric periodic solutions of nonlinear Hamiltonian systems, and for selected boundary value problems involving partial differential equations. 000890636 588__ $$aOnline resource; title from PDF title page (viewed June 3, 2019). 000890636 650_0 $$aNonlinear functional analysis. 000890636 650_0 $$aIndex theory (Mathematics) 000890636 852__ $$bebk 000890636 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-981-13-7287-2$$zOnline Access$$91397441.1 000890636 909CO $$ooai:library.usi.edu:890636$$pGLOBAL_SET 000890636 980__ $$aEBOOK 000890636 980__ $$aBIB 000890636 982__ $$aEbook 000890636 983__ $$aOnline 000890636 994__ $$a92$$bISE