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Comparison of Triply Periodic Minimal Surface Energy Absorbers Under Uniaxial Compressive Loading
This study investigates LCD 3D printed Triply Periodic Minimal Surface (TPMS) structures as mechanical energy absorbers. By comparing various base designs and layered combinations under uniaxial compression, it identifies that a Diamond‐Gyroid sandwich structure offers superior performance.
Sergej Grednev +2 more
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Partial functional differential equations and Conley index
Journal of Differential Equations, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Carbinatto, M. C., Rybakowski, K. P.
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Partial averaging of functional differential equations
Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304), 2003Develops a framework for averaging functional differential equations (FDEs) with two time scales. Averaging is performed on the fast time system, while slow time is 'frozen.' This creates an averaged equation which is slowly time-varying, hence the terminology of partial averaging.
B. Lehman, S.P. Weibel
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Rotating Waves in Neutral Partial Functional Differential Equations
Journal of Dynamics and Differential Equations, 1999The local existence and global continuation of rotating waves for partial neutral functional differential equations \[ \frac{\partial }{\partial t}D(\alpha, u_t)=d\frac{\partial^2}{\partial x^2}D(\alpha,u_t)+f(\alpha,u_t)\tag{1} \] defined on the unit circle \(x\in S^1\) is investigated; where \(d>0\) is a given constant; \(D,\;f:\mathbb{R}\times X ...
Wu, J., Xia, H.
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Comparison method of partial functional differential equations and its application
Applied Mathematics and Computation, 2002Here, the initial value problem \[ \frac{du}{dt} = Au + f(t,u_t), \quad t \geq 0, \qquad u = \varphi (t), \quad t \in [-r,0], \] is considered on the real Banach space \(X\), where \(u_t = u(t + \theta)\), \(-r \leq \theta \leq 0\), and \(A\) is a linear operator on \(X\).
Mengxing He, Zhuoling Ou, Anping Liu
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Partial Hyperbolic Functional Differential Equations
2012In this chapter, we shall present existence results for some classes of IVP for partial hyperbolic differential equations with fractional order.
Saïd Abbas +2 more
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On state-dependent delay partial neutral functional–differential equations
Applied Mathematics and Computation, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eduardo Hernández Morales +1 more
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A HARTMAN-GROBMAN THEOREM FOR SOME PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS
International Journal of Bifurcation and Chaos, 2000We show that the flow of some partial functional differential equations has a global attractor. As a conseqsuence we prove that the flow near a hyperbolic equilibrium is equivalent to its variational equation.
Rachid Benkhalti, Khalil Ezzinbi
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OSCILLATION OF A CLASS OF PARABOLIC PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS
Acta Mathematica Scientia, 1993The authors study oscillation phenomena for the partial functional differential equation \[ \delta/ \delta t \left[u- \sum^ m_{i=1} c_ i(t) u(s,t-r_ i)\right] = a(t) \Delta u - p(x,t)u - \int^ b_ a q(x,t, \zeta) u \bigl( x,g (t, \zeta) \bigr) d \sigma (\zeta), \] \((x,t) \in \Omega \times [0,\infty)\), where \(\Omega\) is a bounded domain in \(\mathbb ...
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Oscillation of partial functional differential equations.
MATHEMATICS JOURNAL OF TOYAMA UNIVERSITY, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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