Differential equations and Sobolev orthogonality
نویسندگان
چکیده
منابع مشابه
Hermite Interpolation and Sobolev Orthogonality
Sobolev orthogonality has been studied for years. For different families of polynomials, there exist several results about recurrence relations, asymptotics, algebraic and differentation properties, zeros, etc. (see, for instance, Alfaro et al. (1999), Jung et al. (1997), Kwon and Littlejohn (1995, 1998), Marcellán et al. (1996), Pérez and Piñar (1996)); but there exist very few results establi...
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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...
Differential equations for discrete Laguerre-Sobolev orthogonal polynomials
The aim of this paper is to study differential properties of orthogonal polynomials with respect to a discrete Laguerre–Sobolev bilinear form with mass point at zero. In particular we construct the orthogonal polynomials using certain Casorati determinants. Using this construction, we prove that they are eigenfunctions of a differential operator (which will be explicitly constructed). Moreover,...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 1995
ISSN: 0377-0427
DOI: 10.1016/0377-0427(95)00111-5