Results 11 to 20 of about 47,739 (313)
On nonoscillating integrals for computing inhomogeneous Airy functions [PDF]
Mathematics of Computation, 2001 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.
Amparo Gil, J. Segura, N. Temme
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Moment Inequalities and High-Energy Tails for Boltzmann Equations with Inelastic Interactions [PDF]
, 2003 We study high-energy asymptotics of the steady velocity distributions for model kinetic equations describing various regimes in dilute granular flows. The main results obtained are integral estimates of solutions of the Boltzmann equation for inelastic ...
A. Bobylev, I. Gamba, V. Panferov
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Asymptotic Stability of Solutions to a Nonlinear Urysohn Quadratic Integral Equation [PDF]
International Journal of Analysis, 2013 Here, we prove the existence of -nondecreasing solution to a nonlinear quadratic integral equation of Urysohn type by applying the technique of weak noncompactness. Also, the asymptotic stability of solutions for that quadratic integral equation is studied.
H. H. G. Hashem, A. R. Al-Rwaily
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On the asymptotic validity of confidence sets for linear functionals of solutions to integral equations [PDF]
BiometrikaSummary This paper examines the construction of confidence sets for parameters defined as linear functionals of a function of $ W $ and $ X $ whose conditional mean given $ Z $ and $ X $ equals the conditional mean of another variable $ Y $ given $ Z $ and $ X $.
Ezequiel Smucler +2 more
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Asymptotic properties of steady and nonsteady solutions to the 2D Navier-Stokes equations with finite generalized Dirichlet integral [PDF]
Indiana University Mathematics Journal, 2019 We consider the stationary and non-stationary Navier-Stokes equations in the whole plane $\mathbb{R}^2$ and in the exterior domain outside of the large circle. The solution $v$ is handled in the class with $\nabla v \in L^q$ for $q \ge 2$. Since we deal with the case $q \ge 2$, our class is larger in the sense of spatial decay at infinity than that of ...
Hideo Kozono +2 more
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EXISTENCE AND ASYMPTOTIC STABILITY OF SOLUTIONS TO A FUNCTIONAL-INTEGRAL EQUATION [PDF]
Taiwanese Journal of Mathematics, 2007 Using a fixed point theorem of Darbo type in the space of bounded continuous functions, the existence of a bounded solution of the equation \[ x(t)=f(t,x(t))+g(t,x(t))\int_{0}^{t}u(t,s,x(s))\,ds \] is obtained when \(| u(t,s,x)|\leq a(t)b(s)\) with small \(a,b\) and \(f(t,\cdot)\) and \(g(t,\cdot)\) are contractions with small constants \(k\) and \(m(t)
Zeqing Liu, Shin Min Kang
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Zeitschrift für Analysis und ihre Anwendungen, 1996 The integral equation to a transmission problem of the Laplacian is considered on a smooth boundary of a plane domain. The contour depends on a positive parameter e and the domain has a corner in the limit case \epsilon = 0 .
Ralf Mahnke
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WSEAS TRANSACTIONS ON MATHEMATICS, 2022 In this work, particular and general solutions to Airy’s inhomogeneous equation are obtained when the forcing function is one of Airy’s functions of the first and second kind, and the standard Nield-Kuznetsov function of the first kind. Particular solutions give rise to special integrals that involve products of Airy’s and Nield-Kuznetsov functions ...
M. H. Hamdan +2 more
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SIAM Journal on Applied Mathematics, 2011 Previous works have discussed in detail the difficulties occurring when one applies numerical methods to Hallen's and Pocklington's integral equations for the current distribution along a linear antenna. When the so-called approximate kernel is used, the main difficulty is the appearance of unphysical oscillations near the driving point and/or near the
George Fikioris +4 more
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Asymptotic Behavior of Solutions to a Vector Integral Equation with Deviating Arguments [PDF]
Abstract and Applied Analysis, 2013 In this paper, we propose the study of an integral equation, with deviating arguments, of the typey(t)=ω(t)-∫0∞f(t,s,y(γ1(s)),…,y(γN(s)))ds,t≥0,in the context of Banach spaces, with the intention of giving sufficient conditions that ensure the existence of solutions with the same asymptotic behavior at∞asω(t).
Cristóbal González +1 more
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