On the existence and properties of three types of solutions of singular IVPs
The paper studies the singular initial value problem $$ (p(t)u'(t))' + q(t)f(u(t))=0, \qquad t>0, \qquad u(0)=u_0\in [L_0,L], \qquad u'(0)=0. $$ Here, $f\in C(\mathbb{R})$, $f(L_0)=f(0)=f(L)=0$, $L_0 < 0 < L$ and $xf(x)>0$ for $x\in (L_0,0) \cup (0,L)$. Further, $p,q\in C...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2015-05-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=3714 |