Differential and Difference Equations with Applications, 1st Edition

  • Published By:
  • ISBN-10: 1461473330
  • ISBN-13: 9781461473336
  • DDC: 515.35
  • Grade Level Range: College Freshman - College Senior
  • 665 Pages | eBook
  • Original Copyright 2013 | Published/Released June 2014
  • This publication's content originally published in print form: 2013

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The volume contains carefully selected papers presented at the International Conference on Differential & Difference Equations and Applications held in Ponta Delgada – Azores, from July 4-8, 2011 in honor of Professor Ravi P. Agarwal. The objective of the gathering was to bring together researchers in the fields of differential & difference equations and to promote the exchange of ideas and research. The papers cover all areas of differential and difference equations with a special emphasis on applications.

Table of Contents

Front Cover.
Other Frontmatter.
Springer Proceedings in Mathematics & Statistics.
Title Page.
Copyright Page.
1: Main Speakers.
2: Two-Term Perturbations in Half-Linear Oscillation Theory.
3: Capillary Forces on Partially Immersed Plates.
4: Singular Problems for Integro-differential Equations in Dynamic Insurance Models.
5: Oscillatory Properties of Solutions of Generalized Emden-Fowler Equations.
6: On Conforming Tetrahedralisations of Prismatic Partitions.
7: Swarm Dynamics and Positive Dynamical Systems.
8: Periodic Solutions of Differential and Difference Systems with Pendulum-Type Nonlinearities: Variational Approaches.
9: Two-Dimensional Differential Systems with Asymmetric Principal Part.
10: Hyperbolicity Radius of Time-Invariant Linear Systems.
11: Oscillation Criteria for Delay and Advanced Difference Equations with Variable Arguments.
12: Positive Solutions of Nonlinear Equations with Explicit Dependence on the Independent Variable.
13: Existence Results for a System of Third-Order Right Focal Boundary Value Problems.
14: Forced Oscillation of Second-Order Impulsive Differential Equations with Mixed Nonlinearities.
15: From the Poincaré–Birkhoff Fixed Point Theorem to Linked Twist Maps: Some Applications to Planar Hamiltonian Systems.
16: Contributions.
17: Pullback Attractors for NonAutonomous Dynamical Systems.
18: Uniform Estimates and Existence of Solutions with Prescribed Domain to Nonlinear Third-Order Differential Equation.
19: A Second-Order Difference Scheme for a Singularly Perturbed Reaction-Diffusion Problem.
20: Parametric Dependence of Boundary Trace Inequalities.
21: On Properties of Third-Order Functional Differential Equations.
22: On the Structure of Two-Layer Cellular Neural Networks.
23: Linear Integral Equations with Discontinuous Kernels and the Representation of Operators on Regulated Functions on Time Scales.
24: Strong Solutions to Buoyancy-Driven Flows in Channel-Like Bounded Domains.
25: Infinite-Horizon Variational Principles and Almost Periodic Oscillations.
26: A Note on Elliptic Equations Involving the Critical Sobolev Exponent.
27: Sign-Changing Subharmonic Solutions to Unforced Equations with Singular ϕ-Laplacian.
28: Nonlinear Difference Equations with Discontinuous Right–Hand Side.
29: Pullback Attractors of Stochastic Lattice Dynamical Systems with a Multiplicative Noise and Non-Lipschitz Nonlinearities.
30: Discrete-Time Counterparts of Impulsive Hopfield Neural Networks with Leakage Delays.
31: A Symmetric Quantum Calculus.
32: Stability of Nonlinear Differential Systems with Right-Hand Side Depending on Markov's Process.
33: Oscillation of Third-Order Differential Equations with Mixed Arguments.
34: On Estimates for the First Eigenvalue of the Sturm–Liouville Problem with Dirichlet Boundary Conditions and Integral Condition.
35: Boundary Value Problems for Schrödinger Operators on a Path Associated to Orthogonal Polynomials.
36: Centers in a Quadratic System Obtained from a Scalar Third Order Differential Equation.
37: Three Solutions for Systems of n Fourth-Order Partial Differential Equations.
38: The Fučík Spectrum: Exploring the Bridge Between Discrete and Continuous World.
39: The Displacement of a Sliding Bar Subject to Nonlinear Controllers.
40: Abstract Bifurcation Theorems and Applications to Dynamical Systems with Resonant Eigenvalues.
41: Oscillation of Difference Equations with Impulses.
42: On Estimates of the First Eigenvalue for the Sturm–Liouville Problem with Symmetric Boundary Conditions and Integral Condition.
43: On Polyhedral Estimates for Trajectory Tubes of Differential Systems with a Bilinear Uncertainty.
44: Analysis and Computational Approximation of a Forward–Backward Equation Arising in Nerve Conduction.
45: Multiple Solutions for a Class of Degenerate Quasilinear Elliptic Systems.
46: A Symmetric Nörlund Sum with Application to Inequalities.
47: Numerical Range and Bifurcation Points of a Family of Rational Function.
48: Existence of Solutions for a Class of Semilinear Elliptic Systems via Variational Methods.
49: Periodic Boundary Value Problems For Systems of First-Order Differential Equations with Impulses.
50: Numerical Methods for Multi-term Fractional Boundary Value Problems.
51: Topological Structures for Studying Dynamic Equations on Time Scales.
52: Existence of Nonoscillatory Solutions of the Discrete FitzHugh-Nagumo System.
53: On Extinction Phenomena for Parabolic Systems.
54: Conjugacy of Discrete Semidynamical Systems in the Neighbourhood of Invariant Manifold.
55: Γ-Convergence of Multiscale Periodic Energies Depending on the Curl of Divergence-Free Fields.
56: A Geometric Proof of the Existence of Two Solutions of the Bahri–Coron Problem.
57: Period-Two Solutions to Some Systems of Rational Difference Equations.
58: Effect of Roughness on the Flow of a Fluid Against Periodic and Nonperiodic Rough Boundaries.
59: A Double Complex Construction and Discrete Bogomolny Equations.
60: Pseudo-Differential Equations on Manifolds with Non-smooth Boundaries.
61: Positive Solutions for a Kind of Singular Nonlinear Fractional Differential Equations with Integral Boundary Conditions.
62: Functional Aspects of the Hardy Inequality: Appearance of a Hidden Energy.