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Dynamic response of tri-layered functionally graded-viscoelastic-piezomagnetic cylindrical tunnel excited by circumferential shear horizontal waves. [PDF]
Gupta V +6 more
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Analysis and simulation of a stochastic reaction-diffusion model for HBV infection under antiviral treatment. [PDF]
Tchioffo BR, Mvogo A, Ele Abiama P.
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Love Wave Propagation in a Piezoelectric Composite Structure with an Inhomogeneous Internal Layer. [PDF]
Zhao Y, Li P, Fan G, Shao C.
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Self-organisation of complex dynamical systems: from synergetics to neuromorphic systems. [PDF]
Mainzer K.
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On Contraction of Functional Differential Equations
SIAM Journal on Control and Optimization, 2018In this paper, the authors present a novel approach to the contraction and the global ex- ponential stability of equilibria and periodic orbits of functional differential equations of the form \[ \frac{dx(t)}{dt}=f(t,x(t),x_t),\quad t\geq\sigma , \] where \(x\in\mathbb{R}^n\).
Pham Huu Anh Ngoc, Hieu Trinh
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On the functional differential equations with “maximums”
Applicable Analysis, 1983By means of a theorem on surjectivity of a continuous accretive everywhere defined operator the authors prove the existence and uniqueness of the global solution for the problem \(y'(t)=F(t,\max \{y(s): s\in [p(t),q(t)]\}\), max\(\{\) y'(s): \(s\in [u(t),v(t)]\})\), \(t>0\), \(y(t)=\psi (t)\), \(y'(t)=\psi '(t)\), \(t\leq 0\).
Angelov, V. G., Bajnov, D. D.
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Mixed Functional Differential Equations
Journal of Mathematical Sciences, 2005Definition: A functional-differential equation (FDE) for a function with more than one continuous arguments is called a mixed FDE (MFDE) if it contains a derivative of the unknown function with respect to one of the arguments only. MFDEs form a special subclass of ordinary Banach-space-valued DE with locally bounded right-hand side.
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