Results 41 to 50 of about 6,047,709 (255)
Discrete Dynamics in Nature and Society, 2013 Combining the exponential dichotomy of evolution family, composition theorems for almost automorphic functions with Banach fixed point theorem, we establish new existence and uniqueness theorems for almost automorphic mild solutions to neutral parabolic ...
Zhanrong Hu, Zhen Jin
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Periodic Solution for a Kind of Third-Order Neutral-Type Differential Equation
Journal of Function Spaces, 2023 In this paper, we investigate a class of a third-order neutral-type differential equation with time-varying delays. Some sufficient conditions on the existence of a periodic solution are established for the considered system.
Axiu Shu, Bo Du
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Evolution‐guided yeast complementation reveals functional differences in human PSPH variants
FEBS Open Bio, EarlyView.Ancient genomes can help guide which human genetic variants are tested experimentally. This study applies that idea to PSPH, a gene involved in serine biosynthesis, and uses high‐throughput yeast complementation to compare variant function. The findings reveal measurable differences among selected alleles and illustrate the value of evolution‐guided ...
Mauricio Campa‐Álvarez +6 more
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Almost automorphic solutions of neutral functional differential equations
Electronic Journal of Differential Equations, 2010 In this article, we prove the existence and uniqueness of almost automorphic solutions to the non-autonomous evolution equation $$ frac{d}{dt}(u(t)-F_1(t,B_1u(t)))=A(t)(u(t)-F_1(t,Bu(t)))+F_2(t,u(t),B_2u(t)), quad tin mathbb{R} $$ where $A(t ...
Gisele M. Mophou, Gaston M. N'Guerekata
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Abstract and Applied Analysis, 2014 The modified generalized Laguerre-Gauss collocation (MGLC) method is applied to obtain an approximate solution of fractional neutral functional-differential equations with proportional delays on the half-line.
Ali H. Bhrawy +3 more
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Conditions for the Oscillation of Solutions to Neutral Differential Equations of Higher Order
, 2023 In this research, we applied three techniques—the comparison technique, the Riccati technique, and the integral averages technique to analyze and establish various conditions and properties associated with the oscillatory behavior of even-order ...
Maryam Al-Kandari
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FEBS Open Bio, EarlyView.TGF‐β1 stimulation downregulates lysosomal channel TRPML1 in pulmonary fibroblasts. The TRPML1 agonist ML‐SA5 suppressed fibroblast‐to‐myofibroblast activation and collagen production. Mechanistically, ML‐SA5 inhibited mTOR phosphorylation, restored autophagic flux, and its effects were enhanced by rapamycin (mTOR inhibitor) and reversed by MHY1485 ...
Jiatong Yao +10 more
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Abstract and Applied Analysis, 2013 Neutral differential equations have been used to describe the systems that not only depend on the present and past states but also involve derivatives with delays. This paper considers hybrid nonlinear neutral stochastic functional differential equations
Xiaofeng Zong, Fuke Wu, Chengming Huang
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Stability of simple periodic solutions of neutral functional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2003 We study the stability property of a simple periodic solution of an autonomous neutral functional differential equation (NFDE) of the form $${d\over dt} D(x_t) = f (x_t).$$ A new proof based on local integral manifold theory and the implicit function ...
Z. Shao, Y. Lu
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Oscillation of a class of higher order neutral differential equations [PDF]
, 2004 summary:In this paper, we investigate a class of higher order neutral functional differential equations, and obtain some new oscillatory criteria of ...
Wang, Peiguang, Wang, Min
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