Differential and Difference Equations with Applications: Contributions from the International Conference on Differential & Difference Equations and Applications

✍ Scribed by Ondřej Došlý, Simona Fišnarová (auth.), Sandra Pinelas, Michel Chipot, Zuzana Dosla (eds.)

• Publisher: Springer-Verlag New York
• Year: 2013
• Tongue: English
• Leaves: 639
• Series: Springer Proceedings in Mathematics & Statistics 47
• Edition: 1
• Category: Library

✦ Synopsis

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 Matter....Pages i-xi
Front Matter....Pages 1-1
Two-Term Perturbations in Half-Linear Oscillation Theory....Pages 3-11
Capillary Forces on Partially Immersed Plates....Pages 13-25
Singular Problems for Integro-differential Equations in Dynamic Insurance Models....Pages 27-44
Oscillatory Properties of Solutions of Generalized Emden–Fowler Equations....Pages 45-62
On Conforming Tetrahedralisations of Prismatic Partitions....Pages 63-68
Swarm Dynamics and Positive Dynamical Systems....Pages 69-81
Periodic Solutions of Differential and Difference Systems with Pendulum-Type Nonlinearities: Variational Approaches....Pages 83-98
Two-Dimensional Differential Systems with Asymmetric Principal Part....Pages 99-111
Hyperbolicity Radius of Time-Invariant Linear Systems....Pages 113-125
Oscillation Criteria for Delay and Advanced Difference Equations with Variable Arguments....Pages 127-146
Positive Solutions of Nonlinear Equations with Explicit Dependence on the Independent Variable....Pages 147-163
Existence Results for a System of Third-Order Right Focal Boundary Value Problems....Pages 165-181
Forced Oscillation of Second-Order Impulsive Differential Equations with Mixed Nonlinearities....Pages 183-195
From the Poincaré–Birkhoff Fixed Point Theorem to Linked Twist Maps: Some Applications to Planar Hamiltonian Systems....Pages 197-213
Front Matter....Pages 215-215
Pullback Attractors for NonAutonomous Dynamical Systems....Pages 217-225
Uniform Estimates and Existence of Solutions with Prescribed Domain to Nonlinear Third-Order Differential Equation....Pages 227-237
A Second-Order Difference Scheme for a Singularly Perturbed Reaction-Diffusion Problem....Pages 239-248
Parametric Dependence of Boundary Trace Inequalities....Pages 249-254
On Properties of Third-Order Functional Differential Equations....Pages 255-264
On the Structure of Two-Layer Cellular Neural Networks....Pages 265-273
Front Matter....Pages 215-215
Linear Integral Equations with Discontinuous Kernels and the Representation of Operators on Regulated Functions on Time Scales....Pages 275-282
Strong Solutions to Buoyancy-Driven Flows in Channel-Like Bounded Domains....Pages 283-291
Infinite-Horizon Variational Principles and Almost Periodic Oscillations....Pages 293-309
A Note on Elliptic Equations Involving the Critical Sobolev Exponent....Pages 311-319
Sign-Changing Subharmonic Solutions to Unforced Equations with Singular ϕ -Laplacian....Pages 321-329
Nonlinear Difference Equations with Discontinuous Right-Hand Side....Pages 331-339
Pullback Attractors of Stochastic Lattice Dynamical Systems with a Multiplicative Noise and Non-Lipschitz Nonlinearities....Pages 341-349
Discrete-Time Counterparts of Impulsive Hopfield Neural Networks with Leakage Delays....Pages 351-358
A Symmetric Quantum Calculus....Pages 359-366
Stability of Nonlinear Differential Systems with Right-Hand Side Depending on Markov’s Process....Pages 367-373
Oscillation of Third-Order Differential Equations with Mixed Arguments....Pages 375-385
On Estimates for the First Eigenvalue of the Sturm–Liouville Problem with Dirichlet Boundary Conditions and Integral Condition....Pages 387-394
Boundary Value Problems for Schrödinger Operators on a Path Associated to Orthogonal Polynomials....Pages 395-403
Centers in a Quadratic System Obtained from a Scalar Third Order Differential Equation....Pages 405-410
Three Solutions for Systems of n Fourth-Order Partial Differential Equations....Pages 411-419
The Fučík Spectrum: Exploring the Bridge Between Discrete and Continuous World....Pages 421-428
The Displacement of a Sliding Bar Subject to Nonlinear Controllers....Pages 429-437
Abstract Bifurcation Theorems and Applications to Dynamical Systems with Resonant Eigenvalues....Pages 439-447
Oscillation of Difference Equations with Impulses....Pages 449-455
On Estimates of the First Eigenvalue for the Sturm–Liouville Problem with Symmetric Boundary Conditions and Integral Condition....Pages 457-464
Front Matter....Pages 215-215
On Polyhedral Estimates for Trajectory Tubes of Differential Systems with a Bilinear Uncertainty....Pages 465-473
Analysis and Computational Approximation of a Forward–Backward Equation Arising in Nerve Conduction....Pages 475-483
Multiple Solutions for a Class of Degenerate Quasilinear Elliptic Systems....Pages 485-493
A Symmetric Nörlund Sum with Application to Inequalities....Pages 495-503
Numerical Range and Bifurcation Points of a Family of Rational Function....Pages 505-515
Existence of Solutions for a Class of Semilinear Elliptic Systems via Variational Methods....Pages 517-524
Periodic Boundary Value Problems For Systems of First-Order Differential Equations with Impulses....Pages 525-534
Numerical Methods for Multi-term Fractional Boundary Value Problems....Pages 535-542
Topological Structures for Studying Dynamic Equations on Time Scales....Pages 543-549
Existence of Nonoscillatory Solutions of the Discrete FitzHugh-Nagumo System....Pages 551-559
On Extinction Phenomena for Parabolic Systems....Pages 561-570
Conjugacy of Discrete Semidynamical Systems in the Neighbourhood of Invariant Manifold....Pages 571-578
$$\varGamma$$ -Convergence of Multiscale Periodic Energies Depending on the Curl of Divergence-Free Fields....Pages 579-587
A Geometric Proof of the Existence of Two Solutions of the Bahri–Coron Problem....Pages 589-597
Period-Two Solutions to Some Systems of Rational Difference Equations....Pages 599-605
Effect of Roughness on the Flow of a Fluid Against Periodic and Nonperiodic Rough Boundaries....Pages 607-614
A Double Complex Construction and Discrete Bogomolny Equations....Pages 615-624
Pseudo-Differential Equations on Manifolds with Non-smooth Boundaries....Pages 625-637
Positive Solutions for a Kind of Singular Nonlinear Fractional Differential Equations with Integral Boundary Conditions....Pages 639-652
Functional Aspects of the Hardy Inequality: Appearance of a Hidden Energy....Pages 653-665

✦ Subjects

Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations; Dynamical Systems and Ergodic Theory; Integral Equations