Sentence examples for periodic analytic from inspiring English sources

In this paper boundary value problems for periodic analytic functions are discussed.

Then Riemann boundary value problems for periodic analytic functions with finite order at (pminfty i) are formulated.

We first introduce definitions of principal part and order at (pminfty i) for periodic analytic functions through detailed analysis.

A purely periodic analytic solution for cyclic mass transfer in an adsorbent pellet with a bidisperse pore structure is obtained.

Several types of Hilbert boundary value problems on the real axis and the circumferences for periodic analytic functions are also solved.

The framework provides the policy makers and scholars the flexibility to define and refine indicators at different stages of the RIE journey while keeping a holistic view of the entire value chain, to facilitate periodic monitoring, analytics and adaptation at micro-, meso- and macro-levels.

We propose two methods to find analytic periodic approximations intended for differential equations of Hill type.

At last, the periodic orbit, period and approximate analytic expressions of the periodic solution of the non-linear rotor bearing system are provided.

Let us assume that the 4π periodic function g is analytic in C +, all of its derivatives are continuous in C ¯ + and sup z ∈ T | g ( k ) ( z ) | ≤ A k, k ∈ N ∪ { 0 }.

Much of our efforts to achieve this result are devoted to generalizing to arbitrary flows the value distribution theory of analytic almost periodic functions developed by Bohr, Jessen, and Tornehave and others.

In this paper, we apply the KAM theory as well as Birkhoff normal forms to attain real analytic quasi-periodic solutions.