Nonlinear Analysis and Applications: To V. Lakshmikantham on His 80th Birthday: Volume 2

ISBN-13: 9789401040013 / Angielski / Miękka / 2012 / 362 str.

R. P. Agarwal; Donal O'Regan

Opis

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.

Spis treści

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 Fréchet 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. Drábek, 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. Löhne. Volume II: 27. Operator equations in ordered function spaces; S. Heikkilä. 28. Hereditary symmetry of resolving systems for nonlinear equations with Fredhole operators; B. Karasözen, 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