Results 251 to 260 of about 47,739 (313)

Integral representation of solutions of the elliptic knizhnik-zamolodchikov-bernard equations

, 1995
We give an integral representation of solutions of the elliptic Knizhnik-Zamolodchikov-Bernard equations for arbitrary simple Lie algebras. If the level is a positive integer, we obtain formulas for conformal blocks of the WZW model on a torus.
G. Felder, A. Varchenko
semanticscholar   +1 more source

Asymptotic behavior of solutions to an integral equation underlying a second-order differential equation

Nonlinear Analysis: Theory, Methods & Applications, 2009
The authors investigate the existence and uniqueness of solutions to the integral equation of the form \[ y(t)=\omega(t)-\int_{0}^{\infty}f(t,s,y(s))ds, \;t\in [0,\infty). \] These results are obtained using Schauder fixed point theorem and applied to second-order nonlinear differential equations.
González, Cristóbal, Jiménez-Melado, Antonio   +1 more
openaire   +1 more source

Asymptotic properties of solutions to some nonlinear integral equations of convolution type

Nonlinear Analysis: Theory, Methods & Applications, 2008
This paper obtains necessary and sufficient conditions for the boundedness of nonnegative solutions to a class of nonlinear integral equations with convolution kernel, and gives conditions for the solution of this equation to converge asymptotically to a finite determined limit.
openaire   +3 more sources

On the Asymptotic Solution to a Class of Linear Integral Equations

SIAM Journal on Applied Mathematics, 1988
The author obtains complete uniform asymptotic expansions of the solutions to the integral equations \(Ku=f(x),\) and \(L_ xL^*_ XKu=f(x ...
openaire   +1 more source

On the influence of integral perturbations to the asymptotic stability of solutions of a second-order linear differential equation

Journal of Mathematical Sciences, 2020
Sufficient conditions for the asymptotic stability of the solutions of a second-order linear integro-differential equation of the Volterra type are established in the case where the solutions of the corresponding second-order linear differential equation may have no property under study.
Iskandarov, Samandar, Abdiraiimova, Nazigai A.   +1 more
openaire   +1 more source

Asymptotic behavior of the martingale type integral functionals for unstable solutions to stochastic differential equations

Theory of Probability and Mathematical Statistics, 2015
Summary: We consider functionals of the type \(\int_{0}^{t}g(\xi(s))\,dW(s)\), \(t\geq0\). Here, \(g\) is a real valued and locally square integrable function, \(\xi\) is a unique strong solution of the Itō stochastic differential equation \(d\xi(t)=a(\xi(t))dt+dW(t)\) and \(a\) is a measurable real valued bounded function such that \(| xa(x)| \leq C\).
Kulinich, G. L., Kushnirenko, S. V., Mishura, Yu. S.   +2 more
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Asymptotic solution of a class of integral equations and its application to contact problems for cylindrical elastic bodies

Journal of Applied Mathematics and Mechanics, 1967
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aleksandrov, V. M., Belokon', A. V.
openaire   +1 more source

Applying a fixed point theorem of Krasnosel’skii type to the existence of asymptotically stable solutions for a Volterra–Hammerstein integral equation

Nonlinear Analysis: Theory, Methods & Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Le Thi Phuong Ngoc, Nguyen Thanh Long
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Wigner functions versus WKB‐methods in multivalued geometrical optics

Asymptotic Analysis, 2001
We consider the Cauchy problem for a class of scalar linear dispersive equations with rapidly oscillating initial data. The problem of the high‐frequency asymptotics of such models is reviewed, in particular we highlight the difficulties in crossing ...
Christof Sparber, P. Markowich, N. Mauser   +2 more
semanticscholar   +1 more source

On the asymptotic behaviour of solutions with bounded Dirichlet integral to the steady Navier–Stokes equations

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 2000
Summary: We show that the asymptotic behaviour of a smooth function with bounded Dirichlet integral in an exterior domain is controlled by the asymptotic behaviour of its first Fourier coefficient. If the function is a velocity solution to the exterior Dirichlet problem for the steady two-dimensional Navier-Stokes equations we can strengthen this ...
openaire   +2 more sources