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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.
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Keywords
- (1/G′)-expansion method
- (G′/G,1/G)-expansion method
- adaptive mesh refinement
- Adomian decomposition method
- advanced differential equations
- analytic function
- Caputo Operator
- center of mass
- chebyshev polynomial
- comparison theorem
- conformal metric
- damping and forcing terms
- delay differential equations
- deviating argument
- differential equation
- differential equation with periodic coefficients
- differential operator
- Economics, finance, business & management
- exact solutions
- Fornberg–Whitham equations
- fourth order
- fourth-order delay equations
- Fractional calculus
- fractional differential equation
- functional dynamic equations
- Galerkin method
- generalized proportional fractional operator
- geodesic
- higher-order
- highly oscillatory integral
- hyperbolic equation
- hyperbolic lever law
- Industry & industrial studies
- Information technology industries
- interpolating scaling functions
- Kneser solutions
- la Cierva’s autogiro
- la Cierva’s equation
- Levin quadrature rule
- Media, information & communication industries
- mixed type
- multi-wavelets
- natural transform
- nearly singular
- neutral delay
- neutral differential equation
- non-canonical differential equations
- nonoscillatory behavior
- odd-order differential equations
- operational matrix of integration
- oscillation
- oscillation criteria
- oscillations
- oscillatory solutions
- p-Laplacian equations
- q-calculus
- q-differential equation
- Riccati transformations
- second order
- second-order
- Stability
- subordination
- the Zhiber-Shabat equation
- thrid-order
- time scales
- traveling wave solutions
- unit disk
- univalent function
- Volterra integral equations
Links
DOI: 10.3390/books978-3-0365-2386-6Editions