Sequences and Series of Functions II

Nontrivial solutions of non-autonomous dirichlet fractional discrete problems

Fractional Calculus and Applied Analysis ◽

10.1515/fca-2020-0051 ◽

2020 ◽

Vol 23 (4) ◽

pp. 980-995

Author(s):

Alberto Cabada ◽

Nikolay Dimitrov

Keyword(s):

Existence And Uniqueness ◽

Point Boundary ◽

Nontrivial Solutions ◽

Fractional Difference ◽

Nonlinear Part ◽

Existence And Uniqueness Results ◽

Uniqueness Results ◽

Fractional Difference Equation ◽

Discrete Problems ◽

Series Of Functions

AbstractIn this paper, we introduce a two-point boundary value problem for a finite fractional difference equation with a perturbation term. By applying spectral theory, an associated Green’s function is constructed as a series of functions and some of its properties are obtained. Under suitable conditions on the nonlinear part of the equation, some existence and uniqueness results are deduced.

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A SUMMABILITY METHOD FOR FOURIER SERIES OF FUNCTIONS OF GENERALIZED BOUNDED VARIATION

Analysis ◽

10.1524/anly.1997.17.23.287 ◽

1997 ◽

Vol 17 (2-3) ◽

pp. 287-300

Author(s):

LAWRENCE A. D'ANTONIO ◽

DANIEL WATERMAN

Keyword(s):

Fourier Series ◽

Bounded Variation ◽

Summability Method ◽

Series Of Functions

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Research and Safety Design on the Scientific Research Project Management System Based on J2EE

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.743.633 ◽

2015 ◽

Vol 743 ◽

pp. 633-640

Author(s):

Sheng Ju Yang ◽

Shao Ting Shi ◽

Jie Meng

Keyword(s):

Project Management ◽

Scientific Research ◽

Fast Response ◽

Gansu Province ◽

Research Project ◽

Project Management System ◽

Dynamic Propagation ◽

Scientific Research Project ◽

J2ee Architecture ◽

Series Of Functions

Starting from the introduction of the management of scientific research project, and then gives a detailed description based on J2EE architecture, the lightweight composite framework involving Spring, Struts and iBATIS and an iterative method is employed in project management. With a series of functions such as application, recommendation, processing, approval, assessment and management of scientific research project and so on, the system has the characteristics of easy maintenance, dynamic propagation and strong expansibility. Finally the safety of the system is discussed from two perspectives, namely its design and environment. Years’ of application in the management of scientific research project in Gansu Province has proved its good stability, fast response and high safety.

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