Potential Theoretic Analysis of a Certain Integral Equation
نویسندگان
چکیده
منابع مشابه
The Solution of a Certain General Type of Integral Equation.
4For n = 1, the nearest approach to the process used here seems to be found in H. J. S. Smith's Report on the Theory of Numbers, Collected Works, Vol. I, 271-272, Oxford (1894); reproduced by P. Bachmann, Die Lehre von der Kreisteilung, 279-281, Leipzig and Berlin (1921). However, our number yt of (1) for n = 1 is not exhibited explicitly by them in terms of the a's alone, but is defined by mea...
متن کاملA Certain Integral-recurrence Equation with Discrete-continuous Auto-convolution
Laplace transform and some of the author’s previous results about first order differential-recurrence equations with discrete auto-convolution are used to solve a new type of non-linear quadratic integral equation. This paper continues the author’s work from other articles in which are considered and solved new types of algebraic-differential or integral equations.
متن کاملA collocation scheme for a certain Cauchy singular integral equation based on the superconvergence analysis
In this paper, we investigate the composite midpoint rule for the evaluation of Cauchy principal value integral in an interval and place the key point on its pointwise superconver-gence phenomenon. The error expansion of the rule is obtained, which shows that the superconvergence phenomenon occurs at the points of each subinterval whose local coordinate is the zeros of some function. Then, by a...
متن کاملIntegral Equation Methods in Potential Theory. II
where p, q are vector variables specifying points on L and where dq stands for the arc differential at q. As has already been pointed out (part I), this equation maynot exhibit a solution for L, but the difficulty can always be trivially obviated by a change of scale. If so, o-(q) generates potentials Oq(P), q5(P) defined by (5) and (6) of part I (Jaswon i963), where P denotes an interior or ex...
متن کاملIntegral equation methods in potential theory
This paper makes a short study of Fredholm integral equations related to potential theory and elasticity, with a view to preparing the ground for their exploitation in the numerical solution of difficult boundary-value problems. Attention is drawn to the advantages of Fredholm's first equation and of Green's boundary formula. The latter plays a fundamental and hitherto unrecognized role in the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1967
ISSN: 0002-9947
DOI: 10.2307/1994374