机读格式显示(MARC)
- 000 02121nam a2200337 i 4500
- 008 191016t20192019cc b 001 0 eng d
- 020 __ |a 9787030595669 |q hardback |c CNY168.00
- 040 __ |a PUL |b eng |c PUL |e rda
- 099 __ |a CAL 022019095394
- 100 1_ |a Liu, Chungen |9 (刘春根), |e author.
- 245 10 |a Index theory in nonlinear analysis / |c Chungen Liu = 非线性分析的指标理论 / 刘春根.
- 264 _1 |a Beijing : |b Science Press, |c [2019]
- 300 __ |a xix, 333 pages ; |c 25 cm
- 336 __ |a text |b txt |2 rdacontent
- 337 __ |a unmediated |b n |2 rdamedia
- 338 __ |a volume |b nc |2 rdacarrier
- 490 0_ |a Mathematics monograph series ; |v 38
- 500 __ |a "Supported by the National Fund for Academic Publication in Science and Technology"
- 504 __ |a Includes bibliographical references (pages [319]-330)and index.
- 505 0_ |a Linear 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.
- 520 __ |a This 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.
- 650 _0 |a Nonlinear functional analysis.
- 650 _0 |a Index theory (Mathematics)