带有强迫项的泛函方程解的性质

J4

Previous Articles Next Articles

On the Continuous Solutions for a Class ofFunctional Equations with Forced Item

YANG Yu-hua

Department of Computing Science and Information, North China Electric Power University, Baoding 071003, China

Received:2002-05-09 Revised:1900-01-01 Online:2003-01-26 Published:2003-01-26
Contact: YANG Yu-hua

Abstract

Abstract: The sufficient and necessary condition for the existence of monotone increasing solutions of a class functional equation are discussed by using Arzela-Ascoli theorem. The existence of continuous solutions and cont inuation of solutions are studied by using Schauder fixed pointed theorem and some sufficient conditions are obtained.

Key words: functional equation, forced item, continuous solution, continuation, monotone increasing

CLC Number:

O175.7

YANG Yu-hua. On the Continuous Solutions for a Class ofFunctional Equations with Forced Item[J].J4, 2003, 41(01): 33-35.

[1]	WU Tao, ZHAO Bin. Solutions to Distributive Equations ofOverlap and Grouping Functions [J]. Journal of Jilin University Science Edition, 2020, 58(1): 54-64.
[2]	WU Tao, ZHAO Bin. Distributivity of Implication Operator on Overlap and Grouping Functions in IntervalValued Fuzzy Set [J]. Journal of Jilin University Science Edition, 2019, 57(5): 1014-1022.
[3]	LIU Suli, LI Yanchu, LI Huilai. Existence of Solution for Nonlinear FractionalDifferential Equation with Boundary Value Conditions [J]. Journal of Jilin University Science Edition, 2015, 53(02): 194-198.
[4]	LI Yanbo, GUO Hua. Stability of Downward Continuation of BoundaryConditions of Wave Equation Inversion [J]. Journal of Jilin University Science Edition, 2014, 52(04): 743-745.
[5]	LI Ji, ZHOU Xue-Song, MA Yao-Cha, WANG Hai-Xiang. Influence of Wind Power Generation System Parameterson Hopf Bifurcation [J]. J4, 2012, 50(05): 998-1002.
[6]	LI Lin-Song, CUI Li-Yang. Stability of Wilson Functional Equation inthe Spaces of Generalized Functions [J]. J4, 2012, 50(03): 425-.
[7]	LIU Bing-Shu, LIU Wen-Bin. Existence of Periodic Solutions for a FourthOrderp-Laplacian Neutral Functional Differential Equation [J]. J4, 2011, 49(03): 430-436.
[8]	ZHANG Zhi-Reng, LU Shi-Beng. Periodic Solutions for a HighOrder p-Laplacian Differential Equation with a Deviating Argument [J]. J4, 2011, 49(01): 71-75.
[9]	LEI Xiu-Shuang, CHANG Xiao-Jun. Continuation Theorems for Boundary Value Problems ofSecondOrder Dynamic Equations on Time Scales [J]. J4, 2010, 48(06): 949-950.
[10]	GUO Wei, CHENG Rong-Fu. Periodicity and Permanence of LotkaVolteraa Three SpeciesCooperative System with Infinite Delay [J]. J4, 2010, 48(06): 893-898.
[11]	FENG Yao-Ling. Analytic Functions on Products of Two Time Scales [J]. J4, 2010, 48(02): 189-192.
[12]	LI Lin-Song, PIAO Jing-Song, SHU Hong-Hua. Ulam Stability of Quadratic Functional Equation inthe Space of \|Distributions [J]. J4, 2009, 47(4): 691-694.
[13]	CHANG Jing, GAO Yi-Xian, HAN Ru-Cai. Periodic Solutions for (2k)thOrder Volterra DelayFunctional Equations [J]. J4, 2009, 47(4): 745-748.
[14]	ZONG Liang, JIA Mei, LIU Xiping, WANG Hetang, DAI Zhonghua. Existence of Solutions for Fourpoint Boundary Value Problems with p-Laplace Operator [J]. J4, 2008, 46(02): 245-247.
[15]	YANG Xue, XU Xu. Finding Periodic Solutions of High Order Duffing Equations via Newton Continuation Method [J]. J4, 2008, 46(01): 40-42.

On the Continuous Solutions for a Class ofFunctional Equations with Forced Item

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10