Results 11 to 20 of about 926,088 (241)
A semi-periodic initial boundary-value problem for a fourth-order system of partial differential equations is considered. Using the method of functional parametrization, an additional parameter is carried out and the studied problem is reduced to the ...
A.T. Assanova, Zh.S. Tokmurzin
doaj +1 more source
On extension of solutions of a simultaneous system of iterative functional equations [PDF]
Some sufficient conditions which allow to extend every local solution of a simultaneous system of equations in a single variable of the form \[ \varphi(x) = h (x, \varphi[f_1(x)],\ldots,\varphi[f_m(x)]),\] \[\varphi(x) = H (x, \varphi[F_1(x)],\ldots ...
Janusz Matkowski
doaj +1 more source
Arbitrary Choice of Basic Variables in Density Functional Theory. I. Formalism [PDF]
The Hohenberg-Kohn theorem of the density functional theory is extended by modifying the Levy constrained-search formulation. The new theorem allows us to choose arbitrary physical quantities as the basic variables which determine the ground-state ...
Higuchi, K., Higuchi, M.
core +3 more sources
Stability results for the functional differential equations associated to water hammer in hydraulics
There is considered a system of two sets of partial differential equations describing the water hammer in a hydroelectric power plant containing the dynamics of the tunnel, turbine penstock, surge tank and hydraulic turbine.
Vladimir Rasvan
doaj +1 more source
Superstring 'ending' on super-D9-brane: a supersymmetric action functional for the coupled brane system [PDF]
A supersymmetric action functional describing the interaction of the fundamental superstring with the D=10, type IIB Dirichlet super-9-brane is presented. A set of supersymmetric equations for the coupled system is obtained from the action principle.
Aganagic +70 more
core +3 more sources
CANONICAL APPROXIMATIONS IN IMPULSE STABILIZATION FOR A SYSTEM WITH AFTEREFFECT
For optimal stabilization of an autonomous linear system of differential equations with aftereffect and impulse controls, the formulation of the problem in the functional state space is used.
Yuri F. Dolgii
doaj +1 more source
This paper deals with the existence, uniqueness and iterative approximations of solutions for the functional equations and system of functional equations arising in dynamic programming of multistage decision making processes in Banach spaces and complete
Deepmala, Agarwal Ravi P.
doaj +1 more source
On the almost sure running maxima of solutions of affine stochastic functional differential equations [PDF]
This paper studies the large fluctuations of solutions of scalar and finite-dimensional affine stochastic functional differential equations with finite memory as well as related nonlinear equations.
Appleby, John A.D., Mao, Xuerong, Wu, H.
core +1 more source
Non-Perturbative Completion of Hopf-Algebraic Dyson-Schwinger Equations
For certain quantum field theories, the Kreimer-Connes Hopf-algebraic approach to renormalization reduces the Dyson-Schwinger equations to a system of non-linear ordinary differential equations for the expansion coefficients of the renormalized Green's ...
Borinsky, Michael, Dunne, Gerald V.
core +1 more source
The article shows that the system of the functional equations $S(x+y)=S(x)C(y)+S(y)C(x),\,C(x+y)=C(x)C(y)-S(y)S(x)$ denes a broader class of the functions than the trigonometric equations.
Е. V. Velichko, I. G. Tkachenko
doaj +1 more source

