共查询到20条相似文献,搜索用时 31 毫秒
1.
Sh. Sh. Yusubov 《Differential Equations》2017,53(8):1100-1102
We consider the Dirichlet problem with nonclassical boundary conditions for a 2nth-order pseudoparabolic equation with nonsmooth coefficients in a rectangular parallelepiped. We prove that this problem is equivalent to the classical Dirichlet problem. 相似文献
2.
We consider the mean-variance hedging problem under partial information in the case where the flow of observable events does
not contain the full information on the underlying asset price process. We introduce a certain type martingale equation and
characterize the optimal strategy in terms of the solution of this equation. We give relations between this equation and backward
stochastic differential equations for the value process of the problem.
This work was supported by Georgian National Science Foundation grant STO07/3-172. 相似文献
3.
We consider the initial-boundary value problem for the Ott-Sudan-Ostrovskiy equation on a half-line. We study traditionally important problems of the theory of nonlinear partial differential equations, such as global in time existence of solutions to the initial-boundary value problem and the asymptotic behavior of solutions for large time. 相似文献
4.
Peter I. Kogut Guenter Leugering 《Journal of Optimization Theory and Applications》2011,150(2):205-232
In this paper, we study a Dirichlet optimal control problem associated with a linear elliptic equation the coefficients of
which we take as controls in the class of integrable functions. The coefficients may degenerate and, therefore, the problems
may exhibit the so-called Lavrentieff phenomenon and non-uniqueness of weak solutions. We consider the solvability of this
problem in the class of W-variational solutions. Using a concept of variational convergence of constrained minimization problems in variable spaces,
we prove the existence of W-solutions to the optimal control problem and provide the way for their approximation. We emphasize that control problems
of this type are important in material and topology optimization as well as in damage or life-cycle optimization. 相似文献
5.
Alexander Gladkov 《Lithuanian Mathematical Journal》2017,57(4):468-478
We consider an initial boundary value problem for a semilinear parabolic equation with absorption and nonlinear nonlocal Neumann boundary condition. We prove a comparison principle and the existence of a local solution and study the problem of uniqueness and nonuniqueness. 相似文献
6.
R. R. Salimov 《Ukrainian Mathematical Journal》2008,60(10):1605-1617
We study the problem of the elimination of isolated singularities for so-called Q-homeomorphisms in Loewner spaces. We formulate several conditions for a function Q(x) under which every Q-homeomorphism admits a continuous extension to an isolated singular point. We also consider the problem of the homeomorphicity
of the extension obtained. The results are applied to Riemannian manifolds and Carnot groups.
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 10, pp. 1378–1388, October, 2008. 相似文献
7.
Karl Meerbergen Christian Schröder Heinrich Voss 《Numerical Linear Algebra with Applications》2013,20(5):852-868
The critical delays of a delay‐differential equation can be computed by solving a nonlinear two‐parameter eigenvalue problem. The solution of this two‐parameter problem can be translated to solving a quadratic eigenvalue problem of squared dimension. We present a structure preserving QR‐type method for solving such quadratic eigenvalue problem that only computes real‐valued critical delays; that is, complex critical delays, which have no physical meaning, are discarded. For large‐scale problems, we propose new correction equations for a Newton‐type or Jacobi–Davidson style method, which also forces real‐valued critical delays. We present three different equations: one real‐valued equation using a direct linear system solver, one complex valued equation using a direct linear system solver, and one Jacobi–Davidson style correction equation that is suitable for an iterative linear system solver. We show numerical examples for large‐scale problems arising from PDEs. Copyright © 2012 John Wiley & Sons, Ltd. 相似文献
8.
《Mathematical Methods in the Applied Sciences》2018,41(4):1697-1702
A partial inverse problem for an integro‐differential Sturm‐Liouville operator on a star‐shaped graph is studied. We suppose that the convolution kernels are known on all the edges of the graph except one and recover the kernel on the remaining edge from a part of the spectrum. We prove the uniqueness theorem for this problem and develop a constructive algorithm for its solution, based on the reduction of the inverse problem on the graph to the inverse problem on the interval by using the Riesz basis property of the special system of functions. 相似文献
9.
A. N. Mironov 《Russian Mathematics (Iz VUZ)》2012,56(1):48-54
We obtain sufficient conditions for the unique solvability of the characteristic boundary problem for one hyperbolic equation. 相似文献
10.
We shall derive a Rellich-type-estimate for solutions in R N of a transmission problem associated with a second order uniformly elliptic differential operator of Helmholtz-type. The transitional surface is supposed to be unbounded and a characterization of its behaviour at infinity is given. Using this estimate, we can prove a uniqueness theorem for radiation solutions of the transmission problem. 相似文献
11.
Bilender P. Allahverdiev Hüseyin Tuna Yüksel Yalinkaya 《Mathematical Methods in the Applied Sciences》2019,42(10):3508-3526
In this article, we discuss a conformable fractional Sturm‐Liouville boundary‐value problem. We prove an existence and uniqueness theorem for this equation and formulate a self‐adjoint boundary value problem. We also construct the associated Green function of this problem, and we give the eigenfunction expansions. Finally, we will give some examples. 相似文献
12.
We are concerned with equations which derive from a quasistatic periodic problem of viscoelasticity. We give a condition which yields to existence and uniqueness of a periodic solution. Then we prove a finite element method based on equilibrium elements for the space approximation and on the explicit Euler scheme for the time approximation. 相似文献
13.
In this paper, we consider a class of n-person noncooperative games, where the utility function of every player is given by a homogeneous polynomial defined by the payoff tensor of that player, which is a natural extension of the bimatrix game where the utility function of every player is given by a quadratic form defined by the payoff matrix of that player. We will call such a problem the multilinear game. We reformulate the multilinear game as a tensor complementarity problem, a generalization of the linear complementarity problem; and show that finding a Nash equilibrium point of the multilinear game is equivalent to finding a solution of the resulted tensor complementarity problem. Especially, we present an explicit relationship between the solutions of the multilinear game and the tensor complementarity problem, which builds a bridge between these two classes of problems. We also apply a smoothing-type algorithm to solve the resulted tensor complementarity problem and give some preliminary numerical results for solving the multilinear games. 相似文献
14.
Z. S. Aliev 《Differential Equations》2011,47(6):766-777
We consider a spectral problem for a fourth-order ordinary differential equation with spectral parameter in a boundary condition.
We study the structure of root spaces and analyze the basis properties in the space L
p
(0, l), 1 < p < ∞, of systems of root functions of that problem. 相似文献
15.
On the Bergman space of the unit polydisk in the complex n-space, we solve the zero-product problem for two Toeplitz operators with n-harmonic symbols that have local continuous extension property up to the distinguished boundary. In the case where symbols
have additional Lipschitz continuity up to the whole distinguished boundary, we solve the zero-product problem for products
with four factors. We also prove a local version of this result for products with three factors. 相似文献
16.
Yu. S. Voronina A. S. Davydov K. A. Sveshnikov 《Theoretical and Mathematical Physics》2017,193(2):1647-1674
For a supercritical Coulomb source with a chargeZ > Zcr in 1+1 dimensions, we study the nonperturbative properties of the vacuum density ρVP(x) and the energy ?VP. We show that for corresponding problem parameters, nonlinear effects in the supercritical region can lead to behavior of the vacuum energy differing significantly from the perturbative quadratic growth, to the extent of an (almost) quadratic decrease of the form ?|η|Z2 into the negative region. We also show that although approaches for calculating vacuum expectations values and the behavior of ρVP(x) in the supercritical region for various numbers of spatial dimensions indeed have many common features, ?VP for 1+1 dimensions in the supercritical region nevertheless has several specific features determined by the one-dimensionality of the problem. 相似文献
17.
B. I. Sadovnikov N. G. Inozemtseva V. I. Inozemtsev 《Theoretical and Mathematical Physics》2010,164(3):1176-1183
We consider simplified models of coupling charged matter to radiation resonance modes generalizing the well-known Jaynes-Cummings
and Dicke models. We find that these new models are integrable for arbitrary numbers of dipole sources and resonance modes
of the radiation field. We discuss the problem of explicitly diagonalizing the corresponding Hamiltonians. 相似文献
18.
Web‐spline‐based finite element approximation of some quasi‐newtonian flows: Existence‐uniqueness and error bound
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Sudhakar Chaudhary V. V. K. Srinivas Kumar 《Numerical Methods for Partial Differential Equations》2015,31(1):54-77
This article deals with the web‐spline‐based finite element approximation of quasi‐Newtonian flows. First, we consider the scalar elliptic p‐Laplace problem. Then, we consider quasi‐Newtonian flows where viscosity obeys power law or Carreau law. We prove well‐posedness at the continuous as well as the discrete level. We give some error bounds for the solution of quasi‐Newtonian flow problem based on the web‐spline method. Finally, we provide the numerical results for the p‐Laplace problem. © 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq31: 54–77, 2015 相似文献
19.
A. N. Konenkov 《Differential Equations》2018,54(5):658-668
We consider the oblique derivative problem for the heat equation in a model statement. We introduce a difference matching condition for the initial and boundary functions, under which we establish conditions on the data of the problem sufficient for the solution to belong to the parabolic Zygmund space H1, which is an analog of the parabolic Hölder space for the case of an integer smoothness exponent. We present an example showing that if the above-mentioned matching condition is not satisfied, then the solution may fail to belong to the space H1. 相似文献
20.
We establish a connection between the absolute continuity of elliptic measure associated with a second order divergence form
operator with bounded measurable coefficients with the solvability of an end-point BMO Dirichlet problem. We show that these
two notions are equivalent. As a consequence we obtain an end-point perturbation result, i.e., the solvability of the BMO
Dirichlet problem implies L
p
solvability for all p>p
0. 相似文献