We consider optimal control problems involving two constraint sets: one comprised of linear ordinary differential equations with the initial and terminal states specified and the other defined by the control variables constrained by simple bounds. When the intersection of these two sets is empty, typica...
A factorization method is constructed for sequences of second-order linear difference equations in analogy with the factorization method for differential equations. Six factorization types are established and recursion relations are obtained for various classes of special functions, among which are the ...
In this paper, we derive the solutions of homogeneous and non-homogeneous nth-order linear general quantum difference equations based on the general quantum difference operator Dβ which is defined by Dβf(t)=(f(β(t))−f(t))/(β(t)−t), β(t)≠t, where β is a strictly increa...
(See this previous blog post for some discussion of the connections between these various forms of linear duality.) Consider the affine functional on the vector space of finitely supported sequences of reals. On the one hand, since , this functional is positive for every sequence obeying the...
On the application of Liapunov's direct method to linear dynamical systems Publication » On the application of Liapunov's direct method to linear dynamical systems*1. J.A,Walker - 《Journal of Mathematical Analysis & Applications》 被引量: 24发表: 1976年 ...
Whether fully successful or not, the theory at least attempts to make explicit the specific conditions under which external steering of science is possible and fruitful. In this respect, it favorably contrasts to some more recent approaches, in particular to the now fashionable idea of a linear ...
Nirenberg, On stability for difference schemes: A sharp form of Ga˙rding's inequality, Comm. Pure Appl. Math., 19 (1966), 473–492 MR0206534 0185.22801 CrossrefISIGoogle Scholar[44] P. D. Lax and , R. D. Richtmyer, Survey of the stability of linear finite difference equations, Comm....
期刊名称:《Journal of chemical theory and computation: JCTC》 | 2023年第15期 22.Acceleration of Linear Finite-Difference Poisson-Boltzmann Methods on Graphics Processing Units 机译:图形处理单元上线性有限差分泊松-玻尔兹曼方法的加速 作者:Qi Ruxi;Botello-Smith Wesley M.;Luo Ray 期刊名称:《Journal ...
very large chemical potential of the electrons throughout the core, are generated predominantly in the hot post-bounce en vironment by e'^ +n p+ ^e- Mu- and tau-neutrinos are also produced in this epoch 'A shock is a non-linear phenomenon admitted by the equations of hydrodynamics....
Nonlinear relations are the subject of General Relativity Theory, where linear transforms only apply to infinitesimal coordinates (cdt,dx,dy,dz). Call t,x,y,z the coordinates in one system (S) and t',x',y',z' the coordinates in the other (S'). Assume the axes are so oriented that...