DISCONJUGACY, DISFOCALITY, AND OSCILLATION OF 2ND-ORDER DIFFERENCE-EQUATIONS

被引：48
作者：
CHEN, SZ
机构：
[1] Department of Mathematics, Shandong University, Shandong 250100, Jinan
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 1994年 / 107卷 / 02期
关键词：
D O I：
10.1006/jdeq.1994.1018
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We obtain necessary and sufficient conditions for the disconjugacy, disfocality, or oscillation of the second order linear difference equation. The conditions are given explicitly in terms of the coefficients in the equation. (C) 1994 Academic Press, Inc.
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页码：383 / 394
页数：12
相关论文
共 14 条
[1]  
[Anonymous], 2002, ORDINARY DIFFERENTIA, DOI DOI 10.1137/1.9780898719222
[2]  
Bohl P, 1906, J REINE ANGEW MATH, V131, P268
[3]   RICCATI TECHNIQUES AND DISCRETE OSCILLATIONS [J].
CHEN, SZ ;
ERBE, LH .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 142 (02) :468-487
[4]  
DUNKEL O, 1926, B AM MATH SOC, V32, P333
[5]   ANALOGS OF FEKETE AND DESCARTES SYSTEMS OF SOLUTIONS FOR DIFFERENCE-EQUATIONS [J].
ELOE, PW ;
HENDERSON, J .
JOURNAL OF APPROXIMATION THEORY, 1989, 59 (01) :38-52
[6]   CRITERIA FOR RIGHT DISFOCALITY OF LINEAR DIFFERENCE-EQUATIONS [J].
ELOE, PW .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 120 (02) :610-621
[7]  
FORT T., 1948, FINITE DIFFERENCES D
[8]  
HARTMAN P, 1978, T AM MATH SOC, V246, P1
[9]   RICCATI TYPE TRANSFORMATIONS FOR 2ND-ORDER LINEAR DIFFERENCE-EQUATIONS [J].
HOOKER, JW ;
PATULA, WT .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1981, 82 (02) :451-462
[10]   OSCILLATORY 2ND-ORDER LINEAR DIFFERENCE-EQUATIONS AND RICCATI-EQUATIONS [J].
HOOKER, JW ;
KWONG, MK ;
PATULA, WT .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1987, 18 (01) :54-63
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