Results 231 to 240 of about 2,878,474 (274)
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ON DIFFERENTIAL-OPERATOR EQUATIONS OF SECOND ORDER
Mathematics of the USSR-Izvestiya, 1975The article offers proof of general comparison theorems by which bounded and stable solutions can be isolated for second-order equations; bounded solutions are also isolated for some second-order systems.Bibliography: 4 titles.
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ON SOME DIFFERENTIAL-OPERATOR EQUATIONS OF ARBITRARY ORDER
Mathematics of the USSR-Sbornik, 1973On the half-line we investigate the following equation in a Banach space: (1)where are closed operators which commute with . We consider the following classes of equations: parabolic, inverse parabolic, hyperbolic, quasi-elliptic, and quasi-hyperbolic. We present boundary value problems for these classes and prove that they are well-posed. The proofs
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On generalized logistic equations with a non-homogeneous differential operator
Dynamical Systems, 2013We consider a generalized logistic equation of superdiffusive type, driven by a non-homogeneous nonlinear differential operator, which incorporates the p-Laplacian, the (p, q)-differential operator and the generalized p-mean curvature differential operator.
Gasiński, Leszek +1 more
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Matrix-Differential-Operator Approach to the Maxwell Equations and the Dirac Equation
Acta Applicandae Mathematicae, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Differential Operators Specifying the Solution of an Elliptic Iterated Equation
Ukrainian Mathematical Journal, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexandrovich, I. M., Sydorov, M. V.-S.
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Bellman equation with integro-differential operators
1982 21st IEEE Conference on Decision and Control, 1982Existence and regularity results are obtained for Bellman equation with integro-differential operators, corresponding to the stochastic control of diffusion processes with jumps.
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Constructive foundations of real equations with differential operator
Modeling of systems and processes, 2014Substantive 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
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A Boundary Value Problem for Elliptic Differential-Operator Equations
Results in Mathematics, 2000The 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 ...
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On an iteration method for a nonlinear differential-operator equation
Differential Equations, 2014The 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
Vinogradova, P. V., Zarubin, A. G.
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Constitutive Equations in Differential Operator Form
2013The 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
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