Results 31 to 40 of about 74,529 (281)
Journal of Inequalities and Applications, 2010 This paper is devoted to generalize Halanay's inequality which plays an important rule in study of stability of differential equations. By applying the generalized Halanay inequality, the stability results of nonlinear neutral functional differential
Wansheng Wang
doaj +2 more sources
Oscillation of Emden–Fowler-Type Neutral Delay Differential Equations
Axioms, 2020 In this work, we consider a type of second-order functional differential equations and establish qualitative properties of their solutions. These new results complement and improve a number of results reported in the literature.
Shyam Sundar Santra +3 more
doaj +1 more source
The Exponential Stability of Neutral Stochastic Delay Partial Differential Equations [PDF]
, 2007 In this paper we analyse the almost sure exponential stability and ultimate boundedness of the solutions to a class of neutral stochastic semilinear partial delay differential equations.
Caraballo Garrido, Tomás +2 more
core +1 more source
Oscillations of first-order neutral delay differential equations
Journal of Mathematical Analysis and Applications, 1986 Consider the neutral delay differential equation \[ (*)\quad (d/dt)[y(t)+py(t-\tau)]+qy(t-\sigma)=0,\quad t\geq t_ 0 \] where \(\tau\), q and \(\sigma\) are positive constants, while \(p\in (-\infty,-1)\cup (0,+\infty)\). Theorem 1. Assume \(p0\). Then every nonoscillatory solution y(t) of (*) tends to zero as \(t\to \infty\). Theorem 4. Assume \(p>0\).
Grammatikopoulos, M.K +2 more
openaire +1 more source
Asymptotically Almost Periodic Solutions for Abstract Partial Neutral Integro-Differential Equation [PDF]
, 2010 The existence of asymptotically almost periodic mild solutions for a class of abstract partial neutral integro-differential equations with unbounded delay is ...
José Paulo C. dos Santos +2 more
core +2 more sources
Computers & Mathematics with Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Shifeng, Gan, Siqing
openaire +1 more source
Double-slit and electromagnetic models to complete quantum mechanics
, 2017 We analyze a realistic microscopic model for electronic scattering with the neutral differential delay equations of motion of point charges of the Wheeler-Feynman electrodynamics.
De Luca, Jayme
core +1 more source
International Journal of Mathematics and Mathematical Sciences, 1991 By using the Gronwall Bellman inequality we prove some limit relations between the solutions of delay differential equations with continuous arguments and the solutions of some related delay differential equations with piecewise constant arguments(EPCA).
Istevan Györi
doaj +1 more source
Oscillatory behavior of even-order nonlinear differential equations with a sublinear neutral term [PDF]
Opuscula Mathematica, 2019 The authors present a new technique for the linearization of even-order nonlinear differential equations with a sublinear neutral term. They establish some new oscillation criteria via comparison with higher-order linear delay differential inequalities ...
John R. Graef +2 more
doaj +1 more source
Minimizers with discontinuous velocities for the electromagnetic variational method
, 2011 The electromagnetic two-body problem has \emph{neutral differential delay} equations of motion that, for generic boundary data, can have solutions with \emph{discontinuous} derivatives. If one wants to use these neutral differential delay equations with \
A. Bellen +6 more
core +1 more source