Autonomous Differential Equation Systems and Non-(Self-)Intersection
Existence results for non-autonomous neutral integro-differential systems with impulsive and nonlocal conditions
... b Department of Science and Humanities (Mathematics), M. Kumarasamy College of Engineering, Karur-639113, Tamil Nadu, India. Abstract In accordance with semigroup theory, fractional powers of operators, approximation ...
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Quasi periodic solutions for non autonomous MKdV equation
... 13. R. Johnson and M. Nerurkar, Controllability, stabilization, and the regulator problem for random differ- ential systems, Memoirs Amer. Math. Soc., 646 (1998), Amer. Math. Soc., Providence, R. I., USA. 14. T. ...
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Uniform Attractors for a Non Autonomous Thermoviscoelastic Equation with Strong Damping
... [33] Qin, Y. (2004) Universal Attractor in H 4 for the Nonlinear One-Dimensional Com- pressible Navier-Stokes Equations. Journal of Differential Equations , 207, 21-72. https://doi.org/10.1016/j.jde.2004.08.022 ...
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Uniform attractors for the non autonomous suspension bridge equation with time delay
... 1. Lazer, A.C., McKenna, P.J.: Large scale oscillatory behaviour in loaded asymmetric systems. Ann. Inst. Henri Poincaré, Anal. Non Linéaire 4(3), 243–274 (1987) 2. An, Y.: On the suspension bridge ...
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Existence of the uniform attractors for a non autonomous modified Swift Hohenberg equation
... 183-191 (2010) 8. Park, SH, Park, JY: Pullback attractor for a non-autonomous modified Swift-Hohenberg equation. Comput. Math. Appl. 67, 542-548 (2014) 9. Temam, R: Infinite-Dimensional Dynamical ...
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Structure and bifurcation of pullback attractors in a non autonomous Chafee Infante equation
... Chafee-Infante equation, for which the attractor consists of an odd number of stationary points (which bifurcate from the origin) and the unstable manifolds joining them (Hale [7]; Henry [8], Chafee- Infante [5]; ...
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Self adaptive Scouting Autonomous Experimentation for Systems Biology
... 3 Scouting an HIV-immune System Model Now we demonstrate the behavior of our new algorithm by applying it to a concrete model of immunological control of HIV by Wodarz and Nowak [10]. The model is a 4-dimensional ...
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A new non-standard finite difference method for autonomous differential equations
... a differential equation is that questions related to the usual considerations of consistency, stability and convergence need not to arise, Hilderbrand ...For equation (1), numerical instabilities ...
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Lower semicontinuity of attractors for non autonomous dynamical systems
... (Received 26 May 2007 and accepted in revised form 5 September 2008) Abstract. This paper is concerned with the lower semicontinuity of attractors for semilinear non-autonomous differential equations ...
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On Solving Systems of Autonomous Ordinary Differential Equations by Reduction to a Variable of an Algebra
... In general the solution is not easy to obtain since this is usually a system of coupled differential equations. There is a vast literature regarding the solution of ordinary differential equations by different means and in ...
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SOLUTION OF NON-HOMOGENEOUS DIFFERENTIAL EQUATION WITH THREE AND FOUR FRACTIONAL DERIVATIVES
... Fractional differential equations are generalization of the ordinary differential equation to arbitrary non-integer ...Fractional differential equations arise in many complex ...
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Existence of solutions of abstract non-autonomous second order integro-differential equations
... non-autonomous second order abstract Cauchy problem, while JC Pozo worked on the existence of a resolvent for the integral equation. Both authors read and approved the final manuscript. Author details ...
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Global Attractor for a Non Autonomous Beam Equation
... Zhong, “Necessary and Sufficient Conditions for the Existence of Global Attra- ctor for Semigroup and Application,” Indiana University Mathematics Journal , Vol. Temam, “Infinite Dim[r] ...
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FOURIER SERIES AND EIGENFUN CTION EXPANSIONS ASSOCIATED WITH A NON-SELF-ADJOINT DIFFERENTIAL EQUATION*
... Mishoe, Eigenfunction expansions associated with a non-self-adjoint differential equation, Pacific Journal of Mathematics, 6, 249-270 (1956). Ince, Ordinary differential equat[r] ...
Differential geometry of self-intersection curves of a parametric surface in R3
... The intersection (also the self-intersection) problem is a fundamental process needed in model- ing complex shapes in CAD/CAM ...the self-intersection curves of offset ...
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Self-awareness in autonomous automotive systems
... for self-protection against harmful (function) updates and for self-awareness of control applications ...this self-representation allows to monitor the physical state of the vehicle and to assess the ...
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On the Ellipsoid and Plane Intersection Equation
... Received August 3, 2012; revised September 10, 2012; accepted September 17, 2012 ABSTRACT It is well known that the line of intersection of an ellipsoid and a plane is an ellipse. In this note simple formulas for ...
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On the Intersection Equation of a Hyperboloid and a Plane
... of intersection resulting in this case are not only ellipses but rather all types of conics: ellipses, hyperbolas and ...of intersection are parallel to the coordinate ...
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Pullback attractors for non autonomous reaction diffusion equation in non cylindrical domains
... involving non-cylindrical domains, such as the migrating range of species with season changing, mammalian coat patterns, skin patterns on tropical fish, solid tumor growth ...
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Engineering Trustworthy Self-Adaptive Autonomous Systems
... These systems are becoming increasingly powerful, yet this flexibility comes at a cost: the learned policy does not necessarily guarantee safety or the achievement of the ...
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