nonlinear analysis and applications

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CRC Press, Sep 21, 1987 - Mathematics - 680 pages
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In 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.
 

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Articulo pag 31 advanced aftabizadeh

Contents

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
Consequences of the Duality Map Taking Planes to Planes
105
On the Monotone Iterative Technique for Nonlinear
121
Efficient Numerical Methods for Optimal Control Problems
139
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 x
451
Bounded Solutions of Nonlinear Hyperbolic Equations with Delay
471
Left Subinverses and Monotone Iterations for Nonlinear
479

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
Stability 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
Index
647
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