E-raamat: nonlinear analysis and applications

1. New Results on Local Existence for Quasilinear Parabolic Systems
2. A
New Analysis for Nonlinear Systems
3. Oscillatory and Periodic Solutions of
Advanced Differential Equations with Piecewise Constant Argument
4. Existence
of Optimal Relaxed Controls for Differential Inclusions on Banach Space
5.
Time-Dependent Volterra Equations in Hilbert Space
6. The Superposition
Operator in Spaces of Measurable and Continuous Functions
7. Generalized
Singular Points in Products of Semi-dynamical Systems
8. Hopf Bifurcation for
Two Dimensional Periodic Differential Systems
9. Change of Sign of the
Solutions to Some Parabolic Problems
10. Existence of a Solution to a
Nonlinear Elliptic Problem in Non Variational Form
11. On Integral Transforms
Appearing in the Derivation of the Equations of an Aeroelastic System
12.
Krasovskii's Stability Theory
13. Consequences of the Duality Map Taking
Planes to Planes
14. A Nonlinear Singular Parabolic Initial Boundary Value
Problem
15. On the Monotone Iterative Technique for Nonlinear Volterra Type
Integro-Differential Equation in Banach Space
16. The Time Optimal Control
Theory of Nonlinear Systems of Neutral Type
17. A Singular Perturbation
Approach to Abstract Volterra Equations
18. Efficient Numerical Methods for
Optimal Control Problems via the Calculus of Variations
19. Limiting
Temperature Jumps in Surface Controlled Exothermic Reactions
20. Some Open
Problems in Ordinary Differential Equations and Fixed Points of (Weakly
Inward) Maps in Banach Spaces
21. Stability Analysis of Continuous Dynamical
Systems with Discrete Controllers
22. Semilinear Elliptic Equations in Rn
23.
Some Remarks on Nonlinear Dichotomy and Trichotomy
24. Boundary Value
Problems for Second Order Differential Equations
25. A System of Functional
Differential Equations Modeling Threshold Phenomena
26. Degenerate Nonlinear
Parabolic Boundary Problems
27. Coupling Induced Instability of Synchronous
Oscillations
28. Particle Modeling by Systems of Nonlinear Ordinary
Differential Equations
29. Some Fixed Point Theorems of Expansion and
Compression Type with Applications
30. Boundary Value Problems Involving
Reflection of the Argument
31. On a Theorem of Elias for Difference Equations
32. Local Controllability of a Single Input, Affine System
33. A Bifurcation
Theorem for Nonlinear Equations
34. Nonlinear Input-Output Systems
35.
Least-Squares Finite Element Approximation of Nonlinear Problems
36. The
Method of Mixed Monotony and Second Order Boundary Value Problems
37.
Numerical Solutions to Stochastic Difference Equations
38. On Near-Optimum
Regulators for Large Scale Systems
39. On the Existence of a Solution to an
It-Volterra Equation
40. Positive Solutions of Steady States of
Predator-Prey Systems
41. The Differentiability of Semigroups Generated by
-Accretive Operators
42. On the Local Dynamical System Associated to a Fully
Nonlinear Abstract Parabolic Equation
43. A Fully Nonlinear Boundary Value
Problem for the Laplace Equation
44. Converting a Min-Max Problem into a
State Constrained Problem
45. Singular Nonlinear Oscillator Equations
46.
Variational Approach to Differential Equations and Representation of
Lagrangians in Certain Biological Models
47. On Nonlinear Ill-Posed Problems
I: Classes of Operator Equations and Minimization of Functionals
48. A
Maximum Principle in Nonlinear Fourth Order Elliptic Equations
49.
Hukahara-Kneser Property for Nonlinear Boundary Value Problems
50. A
Qualitative Analysis of a Class of Gas-Solid Reactions
51. Fixed Points of
Multi-Mappings Related to Minimization Problems
52. Periodic Kolmogorov
Biological Systems
53. Monotone Methods for Numerical Solution of
Reaction-Diffusion Equations
54. An Optimal (?) Elliptic Solver
55. Some
Qualitative Problems in the Theory of Partial Differential Equations
56.
About Linearization, Conization, Calmness, Openness and Regularity
57. New
and Unified Theorem for the Solvability of xT(x) in Cones with T
k-Set-Contractive
58. Quasilinear Systems, Semigroups and Nonlinear Coupling
59. Bounded Solutions of Nonlinear Hyperbolic Equations with Delay
60. Left
Subinverses and Monotone Iterations for Nonlinear Operator Equations
61. A
Positivity Method for Linear Volterra Equations
62. Equations for the
Dynamics of a Josephson Junction and a Phase-Locked Loop
63. Stochastic
Systems Under Quadratic Payoff
64. M -Stability for Integro-Differential
Equations Mo
65. Integral Equations, Hyperconvex Spaces and the Hilbert Ball
66. Free Boundary Stability in the One Phase Stefan Problem
67. Reachable
Sets, Limit Sets and Holding Sets in Control Systems
68. Invariant Spectral
Manifolds and Normal Form for the Navier-Stokes Equations with Potential
Forces
69. Oscillation of Solutions of a Population Equation with Delay
70.
Existence of Solutions to Volterra Functional Integral Equations with
Infinite Delay
71. A Remark on the Existence of Three Solutions via Sub-Super
Solutions
72. The Method of Upper and Lower Solutions and the Interval Method
for Second Order Differential Equations
73. A Note on the Hartman-Stampacchia
Theorem
74. Monotone Iterative Technique for Singular Systems of Differential
Equations
75. Multidimensional Solitary Waves: Explicit Examples and
Scattering Theory
76. The Regularity of Minimizers
77. Control of Beams and
Plates: Location of Actuators
78. Some Results on Equations with Unbounded
Delay
79. 3-Dimensional Gradient Conjugate Systems and its Applications
80.
What Inflences on the Number of Limit Cycles of Lienhard Equation
81. Some
Fundamental Properties of Solutions for Initial Value Problem of Nonlinear
Volterra Type Integro-Differential Equation in Abstract Spaces
82. Nonatomic
Neutral Functional Differential Equations

V. Lakshmikantham is Professor, and was Chairman of the Department of Mathematics (1973-1986), at The University of Texas at Arlington. He is founder and editor of the journal Nonlinear Analysis: Theory, Methods, and Applications, as well as coeditor (with G.S. Ladde) of the journal Stochastic Analysis and Applications (Marcel Dekker, Inc.). Dr. Lakshmikantham is also editor of Trends in Theory and Practice of Nonlinear Differential Equations, and coauthor (with G.S. Ladde andB.G. Zhang) of Oscillation Theory of Differential Equations with Deviating Arguments (both books, Marcel Dekker, Inc.). He is the author of several other books and associate editor of six journals. He has written over 200 research papers. He received the M.A. (1955) and Ph.D. (1957) degrees from Osmania University, Hyderabad, India.