Results 51 to 60 of about 130,153 (273)
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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A class of Neutral Functional Differential Equations
Journal of Differential Equations, 1972 Formulation and study of the initial value problem for neutral functional differential equations. The existence, uniqueness, and continuation of solutions to this problem are investigated, and an analysis is made of the dependence of the solutions on the initial conditions and parameters, resulting in the derivation of a continuous dependence theorem ...
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Advanced Engineering Materials, EarlyView.The release of foulers from protective marine coatings is determined by several interrelated material properties, including the strength of Young's modulus, the flexibility of chain segments, the surface free energy, and the magnitude of hydrodynamic stress.
Johann C. Schaal +2 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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Oscillations in Neutral Functional Differential Equations [PDF]
, 2010 Some time ago [1], the author announced a result on the Fredholm alternative for the existence of periodic solutions of a non-homogeneous linear neutral functional differential equation (NFDE). In this paper, we indicate a proof of this result and, at the same time, use the method of proof to give a brief survey of some recent developments in the ...
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Measure Neutral Functional Differential Equations as Generalized ODEs
Journal of Dynamics and Differential Equations, 2018 The authors consider integral equations of the form \[ x(t)=x(t_0)+\int_{t_0}^t f(x_s,s)\,\mathrm{d}g(s)+\int_{-r}^0 \mathrm{d}_\theta[\mu(t,\theta)]x(t+\theta)-\int_{-r}^0 \mathrm{d}_\theta[\mu(t_0,\theta)]\varphi(\theta), \] for which they coin the term ``measure neutral functional differential equations''.
M. Federson +3 more
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Advanced Engineering Materials, EarlyView.In this experimental study, the mechanical properties of additively manufactured Ti‐6Al‐4V lattice structures of different geometries are characterized using compression, four point bending and fatigue testing. While TPMS designs show superior fatigue resistance, SplitP and Honeycomb lattice structures combine high stiffness and strength. The resulting
Klaus Burkart +3 more
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Advanced Engineering Materials, EarlyView.Additive manufacturing (AM) allows great geometric freedom for lightweight components. As parts are progressively optimized exploiting potentials in AM leading in smaller material cross sections, high pressure solution treating and aging (STA) treatments show an enormous potential for strongly improving material properties.
Mika León Altmann +4 more
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A k-Dimensional System of Fractional Neutral Functional Differential Equations with Bounded Delay
Abstract and Applied Analysis, 2014 In 2010, Agarwal et al. studied the existence of a one-dimensional fractional neutral functional differential equation. In this paper, we study an initial value problem for a class of k-dimensional systems of fractional neutral functional differential ...
Dumitru Baleanu +2 more
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