Twin positive solutions to singular boundary value problems of second order differential systems (Q1865984)
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scientific article; zbMATH DE number 1890862
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Twin positive solutions to singular boundary value problems of second order differential systems |
scientific article; zbMATH DE number 1890862 |
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Twin positive solutions to singular boundary value problems of second order differential systems (English)
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2 April 2003
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The authors study the existence of two positive solutions to the singular second-order boundary value problem \[ x''(t)+ q_1(t) f_1(x(t), y(t))= 0, \] \[ y''(t)+ q_2(t) f_2(x(t),y(t))= 0,\quad 0< t< 1, \] \[ x(0)= x(1)= y(0)= y(1)= 0, \] where \(q_i(t)\) may be singular at \(t= 0\), or \(t=1\), the nonlinearity \(f_i\) may be singular at \((0,0)\), \(i= 1,2\).
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twin positive solutions
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Krasnoselski's fixed-point theorem
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singular problem
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