Results 261 to 270 of about 141,787 (310)

A variational framework for residual-based adaptivity in neural PDE solvers and operator learning. [PDF]

NPJ Artif Intell
Toscano JD, Chen DT, Ooomen V, Darbon J, Karniadakis GE.   +4 more
europepmc   +1 more source

Kicked General Fractional Lorenz-Type Equations: Exact Solutions and Multi-Dimensional Discrete Maps. [PDF]

Entropy (Basel)
Tarasov VE.
europepmc   +1 more source

A Q-Learning-Enhanced Cuckoo Catfish Optimizer (CCO-RL): A Comparative Study of Nine Metaheuristics Applied to CEC2017, CEC2022 and Engineering Design Problems. [PDF]

Biomimetics (Basel)
Tawil AA, Alshahrani A, Alqudah BI, Fathi H.   +3 more
europepmc   +1 more source

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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

Differential-Operator Equations and Inclusions

2004
This chapter states some properties of nonlinear differential-operator equations solutions, of differential-operator inclusions and evolutional variational inequalities.
M. Z. Zgurovsky, V. S. Mel’nik
openaire   +1 more source

Problem with Integral Conditions for Differential-Operator Equation

Journal of Mathematical Sciences, 2015
The authors propose a method of solving the problem with inhomogeneous integral conditions for a homogeneous differential-operator equation with abstract operator in a linear space \(H\). For the right-hand sides of the integral conditions belonging to a special subspace \(L\subseteq H\), where the vectors are represented in the form of Stieltjes ...
Kalenyuk, P. I., Kuduk, G., Kohut, I. V., Nytrebych, Z. M.   +3 more
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Nonlinear equations with differentiable operators

1994
Let \( \mathfrak{D} \) be a topological space. Assume that F is an operator defined from \( \mathfrak{D} \) into \( \mathfrak{D} \), i.e., $$ F\left( \mathfrak{D} \right) \subseteq \mathfrak{D} $$ (1)
Victor Khatskevich, David Shoiykhet
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ON DIFFERENTIAL-OPERATOR EQUATIONS OF SECOND ORDER

Mathematics of the USSR-Izvestiya, 1975
The 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, 1973
On 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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Matrix-Differential-Operator Approach to the Maxwell Equations and the Dirac Equation

Acta Applicandae Mathematicae, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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