Results 31 to 40 of about 40,837 (275)

Dirichlet problem for mixed type equation with characteristic degeneration

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019
For a mixed elliptic-hyperbolic type equation with characteristic degeneration, the first boundary value problem in a rectangular region is investigated. The criterion for the uniqueness of the solution of the problem is established.
Yuliya Kamilevna Sabitova
doaj   +3 more sources

Asymptotically typed solutions to a semilinear integral equation [PDF]

Journal of Integral Equations and Applications, 2014
In this paper, we investigate the existence of $\mu$-pseudo almost automorphic solutions to the semilinear integral equation $x(t)=\int_{-\infty}^{t}a(t-s)[Ax(s)+f(s,x(s))]\,ds$, $t\in\mathbf{R}$ in a Banach space $\mathbf{X}$, where $a\in L^{1}(\mathbf{R}_{+})$, $A$ is the generator of an integral resolvent family of linear bounded operators defined ...
Chang, Yong-Kui, Luo, Xiao-Xia, N'Guérékata, G.M.   +2 more
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On Non-Oscillating Integrals for Computing Inhomogeneous Airy Functions [PDF]

, 2000
Integral representations are considered of solutions of the inhomogeneous Airy differential equation $w''-z w=\pm1/\pi$. The solutions of these equations are also known as Scorer functions.
Gil, Amparo, Segura, Javier, Temme, Nico M.   +2 more
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Remarks on the asymptotic properties of solutions of Fredholm integral equations [PDF]

Quarterly of Applied Mathematics, 1973
George R. Bart
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Asymptotics of Relativistic Spin Networks [PDF]

, 2002
The stationary phase technique is used to calculate asymptotic formulae for SO(4) Relativistic Spin Networks. For the tetrahedral spin network this gives the square of the Ponzano-Regge asymptotic formula for the SU(2) 6j symbol.
Baez J C, Baez J C, Baez J C, Barrett J W, Barrett J W, Barrett J W, Barrett J W, Barrett J W, Barrett J W, Christensen J D, Christopher M Steele, Guillemin V, John W Barrett, Mowaffaq H, Ponzano G, Roberts J   +15 more
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Geometry of q-Hypergeometric Functions as a Bridge between Yangians and Quantum Affine Algebras [PDF]

, 1996
The rational quantized Knizhnik-Zamolodchikov equation (qKZ equation) associated with the Lie algebra $sl_2$ is a system of linear difference equations with values in a tensor product of $sl_2$ Verma modules.
A. Izergin, A. Matsuo, A. Selberg, A. Varchenko, A. Varchenko, A. Varchenko, A. Varchenko, A.N. Varchenko, A.N. Varchenko, D. Kazhdan, D. Kazhdan, E.T. Whittaker, F. Loeser, F.A. Smirnov, G. Gasper, I.B. Frenkel, K. Aomoto, K. Kadell, L.D. Faddeev, N.Yu. Reshetikhin, N.Yu. Reshetikhin, N.Yu. Reshetikhin, P.P. Kulish, R.A. Gustafson, S. Lukyanov, T. Kohno, T. Kohno, V. Chari, V. Tarasov, V.E. Korepin, V.G. Drinfeld, V.G. Drinfeld, V.O. Tarasov, V.O. Tarasov, V.V. Schechtman, V.V. Schechtman   +35 more
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Asymptotic Behavior of Solutions of Integral Equations with Homogeneous Kernels [PDF]

Mathematics, 2022
The multidimensional integral equation of second kind with a homogeneous of degree (−n) kernel is considered. The special class of continuous functions with a given asymptotic behavior in the neighborhood of zero is defined. It is proved that, if the free term of the integral equation belongs to this class and the equation itself is solvable, then its ...
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Level-Spacing Distributions and the Bessel Kernel [PDF]

, 1993
The level spacing distributions which arise when one rescales the Laguerre or Jacobi ensembles of hermitian matrices is studied. These distributions are expressible in terms of a Fredholm determinant of an integral operator whose kernel is expressible in
A. Edelman, A. Edelman, B.M. McCoy, B.V. Bronk, C.A. Tracy, C.E. Porter, Craig A. Tracy, E.L. Basor, E.W. Barnes, F.J. Dyson, G. Mahoux, G. Moore, H. Flaschka, Harold Widom, I.S. Gradshteyn, L.A. Pastur, M. Jimbo, M. Jimbo, M. Sato, M.J. Bowick, M.L. Mehta, M.L. Mehta, M.L. Mehta, P.J. Forrester, R.D. Kamien, T. Nagao, T.T. Wu, V.I. Gromak   +27 more
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Asymptotics of the Solutions to Singularly Perturbed Multidimensional Integral Equations

Journal of Mathematical Analysis and Applications, 1995
The object of the study in the paper is the singularly perturbed integral equation of the form \[ \varepsilon h_ \varepsilon(x)+ \int_ T R(x- y) h_ \varepsilon(y) dy= f(x),\tag{1} \] \(x\in T\), where \(\varepsilon> 0\) is a parameter, \(T\) is a bounded domain in \(\mathbb{R}^ n\) with a smooth boundary and \(f(x)\) is a given smooth function ...
Alexander G. Ramm, E.I. Shifrin
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Integral equations for the correlation functions of the quantum one-dimensional Bose gas

, 1998
The large time and long distance behavior of the temperature correlation functions of the quantum one-dimensional Bose gas is considered. We obtain integral equations, which solutions describe the asymptotics.
A. A. Belavin, A. R. Its, A. R. Its, C. N. Yang, E. H. Lieb, N. A. Slavnov, N. A. Slavnov, N. A. Slavnov, P. Deift, T. Kojima, T. Kojima, V. E. Korepin, V. E. Korepin, V. E. Korepin, V. E. Korepin, V. E. Korepin   +15 more
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