非線形解析とその応用<br>Nonlinear Analysis and Applications (2-Volume Set) : To V. Lakshmikantham on His 80th Birthday

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非線形解析とその応用
Nonlinear Analysis and Applications (2-Volume Set) : To V. Lakshmikantham on His 80th Birthday

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  • 製本 Hardcover:ハードカバー版/ページ数 968 p.
  • 言語 ENG
  • 商品コード 9781402016882
  • DDC分類 515

基本説明

Topics: Include monotonicity and compact methods, blow up and global existence for hyperbolic problems, dynamic systems on time scales, maximum monotone mappings, and more.

Full Description

"Nonlinear Analysis and Applications" is dedicated to Professor V. Lakshmikantham on the occasion of his 80th birthday. The volumes consist of 45 research papers from distinguished experts from a variety of research areas. Topics include monotonicity and compact methods, blow up and global existence for hyperbolic problems, dynamic systems on time scales, maximum monotone mappings, fixed point theory, quasivalued elliptic problems including mixed BVP's, impulsive and evolution inclusions, iterative processes, Morse theory, hemivariational inequalities, Navier-Stokes equations, multivalued BVP's, various aspects of control theory, integral operators, semigroup theories, modelling of real world phenomena, higher order parabolic equations, invariant measures, superlinear problems, and operator equations.

Contents

Volume I: Preface. A Tribute. 1.Half-linear dynamic equations; R.P. Agarwal, et al. 2. Generalized nonlinear variational inclusions involving maximal eta-monotone mappings; R.P. Agarwal, et al. 3. A survey of recent fixed point theory in Frechet spaces; R.P. Agarwal, et al. 4. Newton-type dynamical systems in Banach spaces and their implicit approximations; Y.I. Alber. 5. A mathematical model for the evaporation of a liquid fuel droplet inside an infinite vessel; R. Alexander, et al. 6. High-order approximation by univariate shift-invariant integral operators; G.A. Anastassiou, et al. 7. Nonlinear estimates approach to the regularity properties of diffusion semigroups; A.Val. Antoniouk, A.Vict. Antoniouk. 8. Rayleigh-Faber-Krahn inequalities and quasi-linear elliptic boundary value problems; C. Bandle. 9. Controlling the volumetric water content jump in a stratified unsaturated soil; V. Barbu, G. Marinoschi. 10. Existence results for impulsive semilinear neutral functional differential inclusions with nonlocal conditions; M. Benchohra, et al. 11. Existence results for nondensely defined impulsive semilinear functional differential equations; M. Benchohra, et al. 12. Herz-type Hardy spaces and Bochner-Riesz means on the Hankel setting; J.J. Betancor. 13. Existence and compactness results for quasilinear elliptic hemivariational inequalities; S. Carl. 14. On a class of evolution equations governed by a nonconvex sweeping process; C. Castaing, A Syam. 15. Morse theory for minimal surfaces with Plateau boundary condition; K.C. Chang, J.Q. Liu. 16. The implicit iterative processes for asymptotically nonexpansive mappings; S.S. Chang, Y.J. Cho. 17. Iterative algorithms for nonexpansive mappings and some of their generalizations; C.E. Chidume. 18. On the asymptotic behaviour of some nonlocal mixed boundary value problems; M. Chipot, M. Siegwart. 19. A dynamic index for control sets; F. Colonius, M. Spadini. 20. On a characteristic layer problem for a weakly damped spring; Darmawijoyo, W.T.van Horssen. 21. Note on spectra of quasilinear equations and the Hardy inequality; P. Drabek, A Kufner. 22. Compression molding I: a generalised non-isothermal, non-Newtonian Hele-Shaw flow; M. Fang, R.P. Gilbert. 23. Positive solutions for second order multivalued boundary value problems; M. Filippakis, et al. 24. On regularizing-decay rate estimates for solutions to the Navier-Stokes initial value problem; Y. Giga, O. Sawada. 25. Cauchy problem for higher-order parabolic equations with arbitrary growing at infinity initial data; A.L. Gladov, et al. 26. A minimal point theorem in uniform spaces; A. Hamel, A. Lohne. Volume II: 27. Operator equations in ordered function spaces; S. Heikkila. 28. Hereditary symmetry of resolving systems for nonlinear equations with Fredhole operators; B. Karasozen, et al. 29. A Gronwall-like inequality and continuous dependence on time scales; P.E. Kloeden. 30. On local center unstable manifolds; K. Kobayasi, S. Takagi. 31. Monotonicity properties and inequalities of the zeros of q-associated polynomials; C.G. Kokologiannaki, et al. 32. Seminorms related to weak compactness under real and compex interpolation for finite families of Banach spaces; A. Kryczka. 33. A differentiability result for the first eigenvalue of the p-Laplacian upon domain perturbation; P.D. Lamberti. 34. Fixed point and related properties for the Fourier and Fourier Stieltjes algebra of a locally compact group; A.T.-M. Lau. 35. Effective and averaged energy densities in one-dimensional wave propagation through spatio-temporal dielectric laminates with negative effective values of e and m; K.A. Lurie, S.L. Weekes. 36. A note on the uniqueness of solutions to nonlinear, discrete, vector boundary problems; J. Mawhin, C.C. Tisdell. 37. Absolutely continuous invariant measures on the sphere; S. Novo, C. Nunez. 38. Is convexity useful for the study of monotonicity? J.-P. Penot. 39. p-Superlinear problems with jumping nonlinearities; K. Perera. 40. Preliminary normal forms for a class of single equilibria in implicit ODEs; R. Riaza. 41. Generic convergence for a class of dynamical systems; S. Reich, A.J. Zaslavski. 42. On the unique solvability of some linear boundary value problems; A.N. Ronto, A.M. Samoilenko. 43. Weak and strong convergence theorems for nonlinear operators of accretive and monotone type and applications; W. Takahashi. 44. Global existence and blow up for a wave equation with a potential and a cubic convolution; K. Tsutaya. 45. Monotonicity and compactness methods applied to the nonlinear Schrodinger and related equations; T. Yokota.