Hyers-Ulam stability of first-order homogeneous linear dynamic equations on time scales
Demonstratio Mathematica, 2018 We establish theHyers-Ulam stability (HUS) of certain first-order linear constant coefficient dynamic equations on time scales, which include the continuous (step size zero) and the discrete (step size constant and nonzero) dynamic equations as important
D. Anderson, M. Onitsuka
semanticscholar +1 more source
Finite element error analysis of wave equations with dynamic boundary conditions: $L^2$ estimates [PDF]
, 2018 $L^2$ norm error estimates of semi- and full discretisations, using bulk--surface finite elements and Runge--Kutta methods, of wave equations with dynamic boundary conditions are studied.
Hipp, David, Kovács, Balázs
core +3 more sources
Oscillation criteria for second-order nonlinear delay dynamic equations of neutral type
Advances in Differential Equations, 2018 We investigate oscillatory behavior of solutions to a class of second-order nonlinear neutral delay dynamic equations with nonpositive neutral coefficients. In particular, we study the corresponding noncanonical neutral differential equations.
Ming Zhang +5 more
semanticscholar +1 more source
Tsunami generation by dynamic displacement of sea bed due to dip-slip faulting [PDF]
, 2008 In classical tsunami-generation techniques, one neglects the dynamic sea bed displacement resulting from fracturing of a seismic fault. The present study takes into account these dynamic effects.
Benkhaldoun +24 more
core +3 more sources
Improved Hille Oscillation Criteria for Nonlinear Functional Dynamic Equations of Third-Order
Mathematics, 2022 This paper aims to improve Hille oscillation criteria for the third-order functional dynamic equation p2(ξ)ϕγ2p1ξϕγ1yΔ(ξ)ΔΔ+a(ξ)ϕγy(g(ξ))=0, on an above-unbounded time scale T. The obtained results improve related contributions reported in the literature
Taher S. Hassan +5 more
doaj +1 more source
Prolongation of solutions of measure differential equations and dynamic equations on time scales
Mathematische Nachrichten, 2018 In this paper, we prove the results on existence and uniqueness of the maximal solutions for measure differential equations, considering more general conditions on functions f and g by using the correspondence between the solutions of these equations and
M. Federson, R. Grau, J. Mesquita
semanticscholar +1 more source
Discovering governing equations from data by sparse identification of nonlinear dynamical systems [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 2015 Significance Understanding dynamic constraints and balances in nature has facilitated rapid development of knowledge and enabled technology, including aircraft, combustion engines, satellites, and electrical power. This work develops a novel framework to
S. Brunton, J. Proctor, J. Kutz
semanticscholar +1 more source
New Criteria for Oscillation of Advanced Noncanonical Nonlinear Dynamic Equations
MathematicsIn this study, novel criteria are derived to ensure the oscillation of solutions in nonlinear advanced noncanonical dynamic equations. The obtained results are reminiscent of the criteria proposed by Hille and Ohriska for canonical dynamic equations ...
T. Hassan +3 more
semanticscholar +1 more source
The dynamic magnetic behaviors of the Blume-Capel Ising bilayer system
, 2014 The dynamic magnetic behaviors of the spin-1 Blume-Capel Ising bilayer system (BCIS) are studied in an oscillating external magnetic field on a two-layer square lattice by utilizing the mean field theory based on Glauber-type stochastic dynamics (DMFT ...
Ertaş, Mehmet
core +1 more source