nonlinear analysis and applicationsIn summary, this book attempts to put together the works of a wide range of mathematical scientists. The problems are both theoretical as well as computational, deterministic as well as stochastic and the models include differential equations with and without delay, as well as Volterra integral and integro-differential equations. Keywords: Optimization; Navier Stokes equations; Applied mathematics; Stability; Bifurcation; Finite element analysis; Iterations. |
Contents
New Results on Local Existence for Quasilinear | 1 |
Oscillatory and Periodic Solutions of Advanced | 31 |
TimeDependent Volterra Equations in Hilbert Space | 51 |
Hopf Bifurcation for Two Dimensional Periodic | 67 |
Existence of a Solution to a Nonlinear Elliptic Problem | 83 |
Krasovskiis Stability Theory 99 39 | 99 |
Consequences of the Duality Map Taking Planes to Planes | 105 |
On the Monotone Iterative Technique for Nonlinear | 121 |
Variational Approach to Differential Equations | 345 |
A Maximum Principle in Nonlinear Fourth Order Elliptic | 375 |
Fixed Points of MultiMappings Related to Minimization | 399 |
Monotone Methods for Numerical Solution of ReactionDiffusion | 417 |
Some Qualitative Problems in the Theory of Partial | 433 |
A New and Unified Theorem for the Solvability of xTx | 451 |
Bounded Solutions of Nonlinear Hyperbolic Equations with Delay | 471 |
Left Subinverses and Monotone Iterations for Nonlinear | 479 |
Efficient Numerical Methods for Optimal Control Problems | 139 |
Some Open Problems in Ordinary Differential Equations | 153 |
Semilinear Elliptic Equations in Rn | 169 |
Erbe and K Schmitt | 183 |
Coupling Induced Instability of Synchronous Oscillations | 197 |
Particle Modeling by Systems of Nonlinear Ordinary | 203 |
Boundary Value Problems Involving Reflection | 223 |
A Bifurcation Theorem for Nonlinear Equations | 249 |
LeastSquares Finite Element Approximation | 267 |
On NearOptimum Regulators for Large Scale Systems | 289 |
Positive Solutions of Steady States of PredatorPrey Systems | 309 |
A Fully Nonlinear Boundary Value Problem for the LaPlace | 327 |
Converting a MinMax Problem into a State Constrained | 331 |
Stochastic Systems Under Quadratic Payoff | 497 |
MStability for IntegroDifferential Equations | 513 |
Free Boundary Stability in the One Phase Stefan | 527 |
Invariant Spectral Manifolds and Normal Form for | 541 |
Existence of Solutions to Volterra Functional Integral | 555 |
A Note on the HartmanStampacchia Theorem | 573 |
Explicit Examples | 583 |
Location of Actuators | 599 |
3Dimensional Gradient Conjugate Systems and | 613 |
Some Fundamental Properties of Solutions | 629 |
| 647 | |
Other editions - View all
Common terms and phrases
A. N. Tikhonov Anal Appl Applications approximation Arlington assume assumptions asymptotic B₁ Banach space bifurcation boundary conditions boundary value problems bounded compact cone consider constant continuous functions control problem convergence convex convex set Corollary defined definition denote Department of Mathematics dimensional eigenvalue elliptic example exists finite fixed point theorem functional differential equations given Hence Hilbert space ill-posed ill-posed problems implies inequality integral equations interval iterative Lakshmikantham Lemma limit cycle Lipschitz M. Z. Nashed Math matrix method monotone norm obtain optimal control ordinary differential equations parabolic partial differential equations periodic solutions perturbation proof of Theorem properties prove satisfies semigroup sequence singular solve stability STLC stochastic subset Suppose t₁ tangent vector Texas Theorem 2.1 theory tion u₁ uniformly University variational Volterra well-posed zero point