Results 291 to 300 of about 822,876 (350)

On an iteration method for a nonlinear differential-operator equation

Differential Equations, 2014
The authors study an iteration method for a first-order nonlinear differential-operator equation in a separable Hilbert space. The convergence of the iterative process is proved in the strong norms, deriving the corresponding convergence estimates. As an application, the authors consider a model initial-boundary value problem for fourth-order parabolic
P V Vinogradova
exaly   +3 more sources

Bellman equation with integro-differential operators

1982 21st IEEE Conference on Decision and Control, 1982
Existence and regularity results are obtained for Bellman equation with integro-differential operators, corresponding to the stochastic control of diffusion processes with jumps.
openaire   +1 more source

Differential Operators Specifying the Solution of an Elliptic Iterated Equation

Ukrainian Mathematical Journal, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexandrovich, I. M., Sydorov, M. V.-S.
openaire   +2 more sources

Constructive foundations of real equations with differential operator

Modeling of systems and processes, 2014
Substantive foundations are offered for solution of differential equations with fixed elements of coefficient system and continuous measurable functions of the right part.
P. Kotov, null Котов
openaire   +1 more source

A Boundary Value Problem for Elliptic Differential-Operator Equations

Results in Mathematics, 2000
The basic part of this article deals with boundary value problems of the type \[ -u''(x)+ Au(x)= f(x),\quad -(A_{\nu 0}u(x))''+ A_{\nu 1}u(x)= f_\nu(x),\quad \nu= 1,\dots, s, \] \[ \alpha_k u^{(p_k)}(0)+ \beta_ku^{(p_k)}u(1)+ \sum^{N_k}_{j= 1} \delta_{kj} u(x_{kj})= 0,\quad k= 1,2, \] with \(x\in [0,1]\), \(p_k\in \{0,1\}\), \(x_{kj}\in [0,1]\); \(A ...
openaire   +1 more source

Constitutive Equations in Differential Operator Form

2013
The mechanical response of a viscoelastic material to external loads combines the characteristics of elastic and viscous behavior. On the other hand, as we know from experience, springs and dashpots are mechanical devices which exhibit purely elastic and purely viscous response, respectively. It is then natural to imagine that the equations that relate
openaire   +1 more source

A class of reaction-diffusion equations with hysteresis differential operator

Applied Mathematics-A Journal of Chinese Universities, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Expansions of Differential Operators and Nonsmooth Solutions of Differential Equations

Cybernetics and Systems Analysis, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Optimal Control for Differential-Operator Equations and Inclusions

2004
This chapter deals with optimization problems for evolutional equations of the first order. Let V be a reflective Banach space topologically and densely embedded into the Gilbert space H; \( S = \left[ {0,T} \right],T > 0,L_p \left( {S;V} \right) \) is the space of functions on S with the values in V the Bochner integrated in degree p; $$ X_1 \cap ...
M. Z. Zgurovsky, V. S. Mel’nik
openaire   +1 more source

Asymptotic Behavior of Eigenvalues of a Boundary Value Problem for a Second-Order Elliptic Differential-Operator Equation with Spectral Parameter Quadratically Occurring in the Boundary Condition

Differential equations, 2018
B. Aliev
semanticscholar   +1 more source