Weak singularities may help periodic solutions to exist

被引：117

作者：

Torres, Pedro J. ^{[1
]}

机构：

[1] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2007年 / 232卷 / 01期

关键词：

periodic solution; weak singularity; Schauder's fixed point theorem;

D O I：

10.1016/j.jde.2006.08.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In a periodically forced semilinear differential equation with a singular nonlinearity, a weak force condition enables the achievement of new existence criteria through a basic application of Schauder's fixed point theorem. The originality of the arguments relies in that, contrary to the customary situation in the available references, a weak singularity facilitates the arguments of the proofs. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：277 / 284

页数：8

共 29 条

[1]

BERKOVICH LM, 1972, DIFF EQUAT, V8, P1609

[2] Periodic solutions of forced isochronous oscillators at resonance [J].

Bonheure, D ;

Fabry, C ;

Smets, D .

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2002, 8 (04) :907-930

[3]

Bonheure D., 2003, TOPOL METHOD NONL AN, V22, P297

[4] T-PERIODIC SOLUTIONS FOR SOME 2ND-ORDER DIFFERENTIAL-EQUATIONS WITH SINGULARITIES [J].

DELPINO, M ;

MANASEVICH, R ;

MONTERO, A .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1992, 120 :231-243

[5] ON THE NUMBER OF 2-PI PERIODIC-SOLUTIONS FOR U'' + G(U) = S(1+H(T)) USING THE POINCARE-BIRKHOFF THEOREM [J].

DELPINO, MA ;

MANASEVICH, RF ;

MURUA, A .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1992, 95 (02) :240-258

[6] INFINITELY MANY T-PERIODIC SOLUTIONS FOR A PROBLEM ARISING IN NONLINEAR ELASTICITY [J].

DELPINO, MA ;

MANASEVICH, RF .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1993, 103 (02) :260-277

[7]

Ding T., 1965, ACTA SCI NATUR U PEK, V11, P31

[8] SUBHARMONIC SOLUTIONS FOR SOME 2ND-ORDER DIFFERENTIAL-EQUATIONS WITH SINGULARITIES [J].

FONDA, A ;

MANASEVICH, R ;

ZANOLIN, F .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1993, 24 (05) :1294-1311

[9]

FONDA A, 1993, MEM CLASSE SCI ACAD, V8, P68

[10]

Franco D, 2006, DISCRETE CONT DYN-A, V15, P747

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