Differential and Difference Equations with Applications

Table of Contents

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