Erratum to “Lamé differential equations and electrostatics”
نویسندگان
چکیده
منابع مشابه
Lamé Differential Equations and Electrostatics
The problem of existence and uniqueness of polynomial solutions of the Lamé differential equation A(x)y′′ + 2B(x)y′ + C(x)y = 0, where A(x), B(x) and C(x) are polynomials of degree p + 1, p and p − 1, is under discussion. We concentrate on the case when A(x) has only real zeros aj and, in contrast to a classical result of Heine and Stieltjes which concerns the case of positive coefficients rj i...
متن کاملRelaxation Methods for Partial Differential Equations: Applications to Electrostatics∗
Abstract Approaches for numerically solving elliptic partial differential equations such as that of Poisson or Laplace are discussed. The basic technique is that of “relaxation,” an iterative scheme based on a discretization of the domain of interest. Applications to problems in electrostatics in two and three dimensions are studied. Extensions including overrelaxation and the multigrid method ...
متن کاملglobal results on some nonlinear partial differential equations for direct and inverse problems
در این رساله به بررسی رفتار جواب های رده ای از معادلات دیفرانسیل با مشتقات جزیی در دامنه های کراندار می پردازیم . این معادلات به فرم نیم-خطی و غیر خطی برای مسایل مستقیم و معکوس مورد مطالعه قرار می گیرند . به ویژه، تاثیر شرایط مختلف فیزیکی را در مساله، نظیر وجود موانع و منابع، پراکندگی و چسبندگی در معادلات موج و گرما بررسی می کنیم و به دنبال شرایطی می گردیم که متضمن وجود سراسری یا عدم وجود سراسر...
the differential effects of debate and media analysis as relate to enhancing efl learners critical thinking ability and writing performances
critical thinking ability has an important role in education. accordingly, scholars around the world are searching for new ways for teaching and improving students critical thinking ability. in line with the studies in efl contexts supporting the positive relationship between critical thinking and writing performances, this study investigated the differential effects of halverson’s critical thi...
15 صفحه اولFunctional Differential Equations Close to Differential Equations
when the lag function r(t) is nearly constant for large /, and has also asked for conditions on the function r under which all solutions approach zero as t—» oo. The purpose of this announcement is to initiate a study of various stability and oscillation problems for equations with perturbed lag functions, and to suggest that a modification of the familiar method of conversion to an integral eq...
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: Proceedings of the American Mathematical Society
سال: 2003
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-03-07226-5