Mathematical Models in Engineering, Biology and Medicine: Proceedings of the International Conference on Boundary Value Problems, Santiago De Compostela, Spain, 16-19 September 2008

by Cabada, Alberto; Liz, Eduardo; Nieto, Juan J.

• ISBN13: 9780735406605
• ISBN10: 073540660X
• Edition: 1st
• Format: Hardcover
• Copyright: 2009-06-01
• Publisher: AMER INST OF PHYSICS

Summary

The Conference was focused in the Qualitative Theory of Differential Equations and its applications in a broad sense, including Boundary Value Problems, Existence, Multiplicity, Uniqueness, Stability and Bifurcation Theory. Different types of Differential Equations were treated, namely Ordinary, Partial and Functional Equations. Applications were presented in different areas as Populations Dynamics and Medical Models.

Table of Contents

Preface	p. ix
Committees	p. x
Sponsors	p. xi
Acknowledgments	p. xii
Populational Growth Models Proportional to Beta Densities with Allee Effect	p. 3
Improved Predictor Corrector Method for Solving Fuzzy Initial Value Problem	p. 13
A Note about Norbert Wiener and His Contribution to Harmonic Analysis and Tauberian Theorems	p. 19
Bound Sets Approach to BVPs: Retrospective and Perspectives	p. 29
Existence of Solutions for Fourth-order ODE's in Water Wave Models	p. 39
Radial Solutions for Systems Involving Mean Curvature Operators in Euclidean and Minkowski Spaces	p. 50
Limit Cycles of Generalized Liénard Systems	p. 60
Perturbations of a Spatial Ricker Model: Break of Chaos	p. 71
Mathematical Model of Cancer with Competition	p. 79
Maximum Principles and Boundary Value Problems for FDES	p. 89
Positive Solutions for Boundary Value Problems of Nonlinear Fractional Differential Equations	p. 101
Permanence for Multi-species Nonautonomous Lotka-Volterra Cooperative Systems	p. 109
A Second Order Non-autonomous Problem on the Half-line: A Variational Approach	p. 119
Solvability of a Stationary Nonlinear Black-Scholes Equation under Conditions on the Potential	p. 129
Global Stability and Singularities for Lotka-Volterra Systems with Delays	p. 138
Viability Theory Applied to Discontinuous Ordinary Differential Equations	p. 148
Multiphase Systems for Medical Image Region Classification	p. 158
Asymptotic Analysis in the Prandtl' Problem	p. 166
Numerical Integration of Nonlinear Boundary Value Problems Arising in Nucleation Theory	p. 175
Two-parameter Nonlinear Eigenvalue Problems	p. 185
Higher Order Nonlinear Two-point Boundary Value Problems with Sign-type Nagumo Condition	p. 195
Nonlocal Impulsive Boundary Value Problems with Solutions that Change Sign	p. 205
Numerical Methods for Singular Boundary Value Problems Involving the p-Laplacian	p. 214
A Survey on the Limit Cycles of the Generalized Polynomial Liénard Differential Equations	p. 224
Solutions of the Fully Fuzzy Linear System	p. 234
Location Results: An Under Used Tool in Higher Order Boundary Value Problems	p. 244
Contractivity for Nonautonomous Logistic Equation with Piecewise Constant Delays	p. 254
Existence and Uniqueness Results for Fuzzy Differential Equations Subject to Boundary Value Conditions	p. 264
On Constant Sign Solutions (Nonpositive) of Certain Functional Differential Inequality	p. 274
Componentwise Compression-expansion Conditions for Systems of Nonlinear Operator Equations and Applications	p. 284
Singular Nonlinear Problem for Ordinary Differential Equation of the Second-order on the Half-line	p. 294
Exact and Approximate Solutions of Reaction-Diffusion-Convection Equations	p. 304
Mathematical Modeling of Neural Correlates of Cognition: The Case of Selective Attention and Habituation	p. 314
On Solvability of a Three-point Boundary Value Problem for Second Order Nonlinear Functional Differential Equations	p. 322
Higher Order Non-local (n-1, 1) Conjugate Type Boundary Value Problems	p. 332
Analytic Normalizations of Analytic Integrable Systems	p. 342
List of Participants	p. 349
Photograph	p. 357
Author Index	p. 359
Table of Contents provided by Ingram. All Rights Reserved.