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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.
List of contents
27. Operator equations in ordered function spaces.- 28. Hereditary symmetry of resolving systems for nonlinear equations with Fredholm operators.- 29. A Gronwall-like inequality and continuous dependence on time scales.- 30. On local center unstable manifolds.- 31. Monotonicity properties and inequalities of the zeros of q-associated polynomials.- 32. Seminorms related to weak compactness under real and complex interpolation for finite families of Banach spaces.- 33. A differentiability result for the first eigenvalue of the p-Laplacian upon domain perturbation.- 34. Fixed point and related properties for the Fourier and Fourier Stieltjes algebra of a locally compact group.- 35. Effective and averaged energy densities in one-dimensional wave propagation through spatio-temporal dielectric laminates with negative effective values of ? and ?.- 36. A note on the uniqueness of solutions to nonlinear, discrete, vector boundary value problems.- 37. Absolutely continuous invariant measures on the sphere.- 38. Is convexity useful for the study of monotonicity?.- 39. p-Superlinear problems with jumping non-linearities.- 40. Preliminary normal forms for a class of singular equilibria in implicit ODEs.- 41. Generic convergence for a class of dynamical systems.- 42. On the unique solvability of some linear boundary value problems.- 43. Weak and strong convergence theorems for nonlinear operators of accretive and monotone type and applications.- 44. Global existence and blow up for a wave equation with a potential and a cubic convolution.- 45. Monotonicity and compactness methods applied to the nonlinear Schrödinger and related equations.
Summary
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.
