Results 31 to 40 of about 188,030 (268)

DIFFERENTIAL EQUATIONS ON GRAPHS [PDF]

Mathematics of the USSR-Sbornik, 1972
Summary: The differential equations encountered in various applications may be treated as equations on graphs. In the paper it is shown that the structure of the graph allows us to investigate the properties of the solutions of such equations.
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Constructive method for solvability of Fredholm equation of the first kind

Electronic Journal of Qualitative Theory of Differential Equations, 2017
The solvability and construction of the general solution of the first kind Fredholm integral equation are among the insufficiently explored problems in mathematics. There are various approaches to solve this problem.
Serikbai Aisagaliev, Zhanat Zhunussova
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Differential Equations in Fréchet Differentials Occurring in Integral Equations [PDF]

Proceedings of the National Academy of Sciences, 1945
Not ...
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Controlled K-Fusion Frame for Hilbert Spaces

Moroccan Journal of Pure and Applied Analysis, 2021
K-fusion frames are a generalization of fusion frames in frame theory. In this paper, we extend the concept of controlled fusion frames to controlled K-fusion frames, and we develop some results on the controlled K-fusion frames for Hilbert spaces, which
Assila Nadia, Kabbaj Samir, Moalige Brahim   +2 more
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The Cauchy Problem for Parabolic Equations with Degeneration

Advances in Mathematical Physics, 2020
Annotation. For a second-order parabolic equation, the multipoint in time Cauchy problem is considered. The coefficients of the equation and the boundary condition have power singularities of arbitrary order in time and space variables on a certain set ...
Ivan Pukal’skii, Bohdan Yashan
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Motion of Submerged Body in a Frozen Channel with Compressed Porous Ice

Applied Sciences
The problem of submerged body motion in a frozen channel is considered. The fluid in the channel is assumed to be inviscid and incompressible. Fluid flow is the potential. The ice cover has non-uniform compression along the principal coordinates.
Tatyana Sibiryakova, Kristina Naydenova, Kirill Serykh, Tatyana Khabakhpasheva   +3 more
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Solution to Initial-Boundary Value Problem for the Heat Conductivity Equation With a Discontinuous Coefficient and General Conjugation Conditions

International Journal of Mathematics and Mathematical Sciences
A solution to the initial-boundary value problem for the heat equation with a discontinuous coefficient and a general conjugation condition is verified using the Fourier method.
Umbetkul Кoilyshov, Makhmud Sadybekov, Кulnyar Beisenbayeva   +2 more
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Navier–Stokes Equation in a Cone with Cross-Sections in the Form of 3D Spheres, Depending on Time, and the Corresponding Basis

Mathematics
The work establishes the unique solvability of a boundary value problem for a 3D linearized system of Navier–Stokes equations in a degenerate domain represented by a cone.
Muvasharkhan Jenaliyev, Akerke Serik, Madi Yergaliyev   +2 more
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Isospectral Dirac operators

Electronic Journal of Qualitative Theory of Differential Equations, 2017
We give the description of self-adjoint regular Dirac operators, on $[0, \pi]$, with the same spectra.
Yuri Ashrafyan, Tigran Harutyunyan
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On Neural Differential Equations

CoRR, 2022
The conjoining of dynamical systems and deep learning has become a topic of great interest. In particular, neural differential equations (NDEs) demonstrate that neural networks and differential equation are two sides of the same coin. Traditional parameterised differential equations are a special case. Many popular neural network architectures, such as
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