Differential/Difference Equations Mathematical Modeling, Oscillation and Applications

• Other Authors: Dassios, Ioannis (Editor), Bazighifan, Omar (Editor), Moaaz, Osama (Editor)
• Format: Electronic Book Chapter
• Language: English
• Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
• Subjects: Information technology industries; odd-order differential equations; Kneser solutions; oscillatory solutions; deviating argument; fourth order; differential equation; oscillation; advanced differential equations; p-Laplacian equations; comparison theorem; oscillation criteria; thrid-order; delay differential equations; oscillations; Riccati transformations; fourth-order delay equations; differential operator; unit disk; univalent function; analytic function; subordination; q-calculus; fractional calculus; fractional differential equation; q-differential equation; second order; neutral differential equation; (1/G')-expansion method; the Zhiber-Shabat equation; (G'/G,1/G)-expansion method; traveling wave solutions; exact solutions; Adomian decomposition method; Caputo operator; Natural transform; Fornberg-Whitham equations; generalized proportional fractional operator; nonoscillatory behavior; damping and forcing terms; Volterra integral equations; operational matrix of integration; multi-wavelets; time scales; functional dynamic equations; highly oscillatory integral; Chebyshev polynomial; nearly singular; Levin quadrature rule; adaptive mesh refinement; la Cierva's autogiro; la Cierva's equation; stability; differential equation with periodic coefficients; interpolating scaling functions; hyperbolic equation; Galerkin method; higher-order; neutral delay; center of mass; conformal metric; geodesic; hyperbolic lever law; non-canonical differential equations; second-order; mixed type
• Online Access: DOAB: download the publication; DOAB: description of the publication

The study of oscillatory phenomena is an important part of the theory of differential equations. Oscillations naturally occur in virtually every area of applied science including, e.g., mechanics, electrical, radio engineering, and vibrotechnics. This Special Issue includes 19 high-quality papers with original research results in theoretical research, and recent progress in the study of applied problems in science and technology. This Special Issue brought together mathematicians with physicists, engineers, as well as other scientists. Topics covered in this issue: Oscillation theory; Differential/difference equations; Partial differential equations; Dynamical systems; Fractional calculus; Delays; Mathematical modeling and oscillations.