[PDF] Top 20 Solutions of singular integral equations

... SOLUTIONS OF SINGULAR INTEGRAL EQUATIONS RINA LING Department of Mathematics, California State University Los Angeles, California Received August 7, 1980.. Qualitative behavior of soluti[r] ... See full document

... of singular integral equations (SIE) naturally stimulated the study of singular integral equations with shift ...approximate solutions have been studied for certain ... See full document

... approximate solutions for singular and hyper-singular integral equations of the first ...A singular integral equation is converted to a system of algebraic equations ... See full document

... Wasow [8] proves the existence of a solution and develops a single uniform asymptotic expansion for that solution in the case of a second order differential equation of the form 1.3 wit[r] ... See full document

... differential equations, most of the authors investigated only the existence of solutions or positive solutions for Hadamard fractional differential equations without considering the p-Laplacian ... See full document

... The processes of reflection of three-dimensional electromagnetic waves by locally irregular media interfaces are investigated. The problem under study is mathematically reduced to the solution of a boundary value problem ... See full document

... where k t x ( ) ( ) , , L t x , and f x ( ) are given real-valued continuous functions belonging to the class Holder of continues functions and k t t ( ) , ≠ 0 . In Equation (1.1) the singular kernel is ... See full document

... nonnegative solutions for systems of Hammerstein integral equations has been widely studied; see for example [–] and references ...Hammerstein integral equations of the ... See full document

... Motivated by the above mentioned works, we aim to establish the uniqueness of positive solutions for the fractional differential equation BVP (1.1). Different from the previous paper, the main features of the ... See full document

... kind integral equations of Fredholm type with singular ...such integral equations into a second kind Fredholm’s integral equation with at most weakly singular ... See full document

... positive solutions of a higher-order singular fractional differential system with coupled integral boundary ...lower solutions and the Schauder fixed point ... See full document

... The radiative transfer equation (RTE), which models light propagation in scattering media, contains two un- known functions: the radiance and the scattering phase function. Usually, the phase function is modeled separ- ... See full document

... Obviously, system () is more general than the problems discussed in some recent litera- ture. Firstly, the system depends on two parameters; secondly, the nonlinear terms f and g are allowed to have different nonlinear ... See full document

... Equating this last expression to zero, we obtain an ordinary differential equation with constant coefficients and of order 2Qp.. equation for this equation is..[r] ... See full document

... where f satisfies the local Lipschitz condition on R and has at least two simple zeros. The function p is continuous on 0, ∞ and has a positive continuous derivative on 0, ∞ and p0 0. We bring additional conditions for f ... See full document

... Linear integral equations of Volterra type arise in a variety of science and technology fields ...of integral equations, that one can apply an existence and uniqueness ...integral ... See full document

... of solutions to fuzzy differential and integral equations, have recently been proved by various authors, see [1, 4, 13, 14, 15, 16, 22, ...differential equations. Finally, stability criteria for ... See full document

... + it follows from yt is a continuous and bounded function on R A4 and AS that kt,sysds is bounded and uniformly continuous on R Thus, from 1.3 and AI we see that the function yt is bound[r] ... See full document

... one of the central topics, and so it has drawn the attention of many researchers. See, for example, [–] for one-dimensional Dirichlet problems, [, ] for one-dimensional p-Laplacian problems, [–] for problems ... See full document

... the singular elliptic ...in singular phenom- ena in nonlinear elliptic problems from blow-up boundary solutions to equations with singular nonlinearities in two types of stationary ... See full document