Dassios, Ioannis

Differential/Difference Equations : Mathematical Modeling, Oscillation and Applications - Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021 - 1 electronic resource (286 p.)

Open Access

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.


Creative Commons


English

books978-3-0365-2386-6 9783036523873 9783036523866

10.3390/books978-3-0365-2386-6 doi


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