Results 1 to 10 of about 15,972 (141)
Linear Conjugation Problem with a Triangular Matrix Coefficient
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A P Soldatov, Soldatov A P
exaly +2 more sources
Contribution to the General Linear Conjugation Problem for A Piecewise Analytic Vector
An algorithm is discussed for constructing a canonical system of solutions to the homogeneous linear conjugation problem for \(n\) pairs of functions, provided that \(n-1\) linearly independent solutions are given.
S N Kiyasov, Kiyasov S N
exaly +5 more sources
R-Linear Conjugation Problem on the Unit Circle in the Parabolic Case
A solution to the R-linear conjugation problem (Markushevich boundary value problem) on the unit circle was proposed. This problem is analogous to the vector-matrix Riemann boundary value problem with the coefficient degenerating in the parabolic case (the
S. V. Rogosin +2 more
doaj +3 more sources
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S N Kiyasov, Kiyasov S N
exaly +6 more sources
On Solvability Conditions for a Certain Conjugation Problem
We study a certain conjugation problem for a pair of elliptic pseudo-differential equations with homogeneous symbols inside and outside of a plane sector. The solution is sought in corresponding Sobolev–Slobodetskii spaces.
Vladimir Vasilyev, Nikolai Eberlein
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The boundary value problem for the system of quasi-linear parabolic equations in the presence of integral conjugation conditions is considered. The boundary value problem is a mathematical model of the process of non-isothermal filtration consolidation ...
Petro M. Martyniuk +1 more
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One-dimensional Wiener process with the properties of partial reflection and delay
In this paper, we construct the two-parameter semigroup of operators associated with a certain one-dimensional inhomogeneous diffusion process and study its properties.
B.I. Kopytko, R.V. Shevchuk
doaj +1 more source
Solution of one hypersingular integro-differential equation defined by determinants
The paper provides an exact analytical solution to a hypersingular inregro-differential equation of arbitrary order. The equation is defined on a closed curve in the complex plane.
Andrei P. Shilin
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Geometric approach to the solution of the Dubins car problem in the formation of program trajectories [PDF]
The paper considers an approach to the formation of control program trajectories of moving objects (UAVs, ships) as a solution to the optimal problem in terms of Dubins path search.
Sergey P. Khabarov, Maria L. Shilkina
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Symmetric-conjugate splitting methods for linear unitary problems
AbstractWe analyze the preservation properties of a family of reversible splitting methods when they are applied to the numerical time integration of linear differential equations defined in the unitary group. The schemes involve complex coefficients and are conjugated to unitary transformations for sufficiently small values of the time step-size.
J. Bernier +3 more
openaire +4 more sources

