Titlebook: Asymptotics of Linear Differential Equations; M. H. Lantsman Book 2001 Springer Science+Business Media B.V. 2001 Operator theory.differenc

CIS

Mathematics and Its Applicationshttp://image.papertrans.cn/b/image/163859.jpg

来就得意

Springer Monographs in MathematicsA space is a non-empty set (no matter how the nature of its elements). Thus, the concept of a space is the most general in mathematics. Instead of the term ., it is possible to use another synonyms as follows: . etc. In a space we may introduce the concept of an operator.

Lignans

Well-Posedness in a Riesz Basis Setting,The theory of asymptotic spaces is used for formal solution of an operator equation of the form . = .(.). Formal solution is the first (and may be very difficult) step of the total asymptotic solution of the equation. Since many different spaces are used for different problems, we consider this notion in an axiomatic form.

极微小

Well-Posedness in a Riesz Basis Setting,Power functions play an important role in the mathematical analysis. We (naturally and usefully) extend the set of all power functions preserving its some ‘good’ asymptotic properties in a neighborhood of the infinitely large point.

Pastry

Problems with Weakened Gap Conditions,In this chapter we consider functions of the power order of growth in a central sector . or in a sufficiently small sector .. on the complex plane.

FIR

https://doi.org/10.1007/b139040In this section we consider integrals the form.which are possible to solve using asymptotic methods. In some rare cases integrals considered may be find exactly. For example

Phagocytes

Springer Monographs in MathematicsHere we consider a so called (scalar) . of . which is a system of the form . where .. (.) and ..(.) are complex-valued functions defined on an interval ]a, b[ of the real axis (one or both of the points . and . can be infinitely large, ., . = 1, 2,..., .). System (8.1) is equivalent to a single matrix equation of the form

Spongy-Bone

commute

SOBER

Multidimensional Ingham-Type Theorems,In this chapter we consider a single linear differential equation of .th order of the form . in a central sector . of the complex plane for sufficiently large argument . where ..(.),..., .. (.) are holomorphic functions.