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

CBC471

集聚成团

Functional

Climate

Metric Spaces,A 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.

裁决

Asymptotic Spaces,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.

半身雕像

rectocele

Power Order Growth Functions of the Complex Argument,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.

Legion

Integrals,In 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

锯齿状

Insatiable

Linear Differential Equations with Power Order Growth Coefficients on the Positive Semi-Axis,In chapters 10, 11 we consider linear differential equations on the positive semi-axis with power order growth coefficients of the form . where the coefficients ..(.) belong to a space . of type . or . (or to {Q} which is some more general. See Definitions 6.16, 6.17 and 6.20).