Integral characterization of the principal solution of half-linear second order differential equations

被引：27
|
作者：
Dosly, O
Elbert, A
机构：
[1] Acad Sci Czech Republ, Math Inst, CZ-61662 Brno, Czech Republic
[2] Magyar Tud Acad, Renyi Alfred Matemat Kutatoint, H-1364 Budapest, Hungary
来源：
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2000年 / 36卷 / 3-4期
关键词：
principal solution; half-linear; reciprocal equation; Picone's identity;
D O I：
10.1556/SScMath.36.2000.3-4.16
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Under some restrictions on the functions r(t) and c(t), a nontrivial solution x(t) of the nonoscillatory half-linear second order differential equation (r(t)Phi (x'))' + c(t)Phi (x) = 0, Phi (s):=\s \ (p-2)s p > 1, t greater than or equal to alpha is principal if and only if [GRAPHICS] In case p = 2 the criterion (*) reduces to a Hartman result on the principal solutions of the Sturm-Liouville differential equations.
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页码：455 / 469
页数：15
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