Results 31 to 40 of about 337,037 (167)

ASYMPTOTIC STABILITY OF A NEUTRAL DIFFERENTIAL EQUATION [PDF]

Proceedings of the Edinburgh Mathematical Society, 2002
AbstractThe uniform stability of the zero solution and the asymptotic behaviour of all solutions of the neutral delay differential equation$$ [x(t)-P(t)x(t-\tau)]'+Q(t)x(t-\sigma)=0,\quad t\ge t_0, $$are investigated, where $\tau,\sigma\in(0,\infty)$, $P\in C([t_0,\infty),\mathbb{R})$, and $Q\in C([t_0,\infty), [0,\infty))$.
Tang, X. H., Zou, Xingfu
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Ulam–Hyers Stability of Fractional Difference Equations with Hilfer Derivatives

Fractal and Fractional
This paper investigates the Ulam–Hyers stability of both linear and nonlinear delayed neutral Hilfer fractional difference equations. We utilize the nabla Laplace transform, known as the N-transform, along with a generalized discrete Gronwall inequality ...
Marko Kostić, Halis Can Koyuncuoğlu, Jagan Mohan Jonnalagadda   +2 more
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Oscillation Conditions for Third-Order Delay Differential Equations with Neutral-Type Term

Mathematics
In this work, we adopted an approach similar to that of Chatzarakis’, by transforming the oscillation analysis of third-order differential equations into an equivalent first-order problem.
Rongrong Guo, Haifeng Tian
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Some Oscillatory Criteria for Second-Order Emden–Fowler Neutral Delay Differential Equations

Mathematics
In this paper, by using the Riccati transformation and integral inequality technique, we establish several oscillation criteria for second-order Emden–Fowler neutral delay differential equations under the canonical case and non-canonical case ...
Haifeng Tian, Rongrong Guo
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Neutral delay equations from and for population dynamics

Electronic Journal of Qualitative Theory of Differential Equations, 2008
For a certain class of neutral differential equations it is shown that these equations can serve as population models in the sense that they can be interpreted as special cases or caricatures of the standard Gurtin-MacCamy model for a population ...
K. P. Hadeler
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Oscillation Analysis Algorithm for Nonlinear Second-Order Neutral Differential Equations

Mathematics, 2023
Differential equations are useful mathematical tools for solving complex problems. Differential equations include ordinary and partial differential equations.
Liang Song, Shaodong Chen, Guoxin Wang
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Symmetries of the Schrödinger–Pauli equation for neutral particles [PDF]

Journal of Mathematical Physics, 2021
By using the algebraic approach, the Lie symmetries of Schrödinger equations with matrix potentials are classified. Thirty three inequivalent equations of such type together with the related symmetry groups are specified, and the admissible equivalence relations are clearly indicated.
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Equivalence Transformation for Neutral Differential Equations: Oscillation of Solutions

Mathematics
We introduce an equivalence transformation to study the oscillation behavior of solutions for linear neutral differential equations of canonical and noncanonical types. The new approach leads to several novel oscillation criteria.
Ağacık Zafer, Tuncay Candan, Zeynep Nilhan Gürkan   +2 more
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Periodic solution for ϕ-Laplacian neutral differential equation

Open Mathematics, 2019
This paper is devoted to the existence of a periodic solution for ϕ-Laplacian neutral differential equation as follows (ϕ(x(t)−cx(t−τ))′)′=f(t,x(t),x′(t)).$$\begin{array}{} (\phi(x(t)-cx(t-\tau))')'=f(t,x(t),x'(t)). \end{array}$$
Yao Shaowen, Cheng Zhibo
doaj   +1 more source

The Neutral Stochastic Integrodifferential Equations with Jumps [PDF]

Chinese Journal of Mathematics, 2016
We study the existence and uniqueness of mild solutions for neutral stochastic integrodifferential equations with Poisson jumps under global and local Carathéodory conditions on the coefficients by means of the successive approximation. Furthermore, we give the continuous dependence of solutions on the initial value.
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