Results 241 to 250 of about 47,739 (313)

Many-body wave scattering problems in the case of small scatterers

open access: yes, 2012
Formulas are derived for solutions of many-body wave scattering problems by small particles in the case of acoustically soft, hard, and impedance particles embedded in an inhomogeneous medium.
A. G. Ramm
semanticscholar   +5 more sources

Application of Integral Equations to Finding Asymptotics of Solutions of Singularly Perturbed Semilinear Heat Equations

Differential Equations, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G. A. Nesenenko
semanticscholar   +2 more sources

Asymptotic radial symmetry and growth estimates of positive solutions to weighted Hardy–Littlewood–Sobolev system of integral equations

Calculus of Variations and Partial Differential Equations, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Y. Lei, Congming Li, Chao Ma
semanticscholar   +3 more sources

Asymptotic Solution to a Class of Nonlinear Volterra Integral Equations. II

SIAM Journal on Applied Mathematics, 1972
It is known that the nonlinear Volterra integral equation \[ \varphi (t)\pi ^{( - 1 / 2)} \,\int_0^t (t - s)^{{ - 1 / 2} } [ {f(s) - \varphi ^n (s)} ]ds,\quad t\geqq 0,\geqq n\geqq 1,\] has a continuous solution $\varphi (t) \geqq 0$ which is unique for each bounded and locally lntegrable function $f(t) \geqq 0$ Our prior investigation considered the ...
Olmstead, W. E., Handelsman, Richard A.
openaire   +1 more source

Existence and uniqueness of solution of a certain boundary-value problem for a convolution integral equation with monotone non-linearity

Izvestiya: Mathematics, 2020
We study the existence and uniqueness as well as the asymptotic behaviour of solutions of a certain boundary-value problem for a convolution integral equation on the whole line with monotone non-linearity.
K. Khachatryan
semanticscholar   +1 more source

Asymptotics of eigenvalues and eigenfunctions of energy-dependent Sturm-Liouville equations

Matematychni Studii, 2013
We study asymptotics of eigenvalues, eigenfunctions and norming constants of singular energy-dependent Sturm--Liouville equations with complex-valued potentials.
Nataliya Pronska
semanticscholar   +1 more source

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