Geodesic
SIGN-CHANGING SOLUTIONS OF (e1, B)-LIMIT INCREASING OPERATOR EQUATION*
Glasgow mathematical journal, Tome 53 (2011) no. 3, pp. 535-554

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DOI

In this paper, by using the fixed point index method first we obtain some existence and multiplicity results for sign-changing solutions of an (e1, B)-limit increasing operator equation. The main results can be applied to many non-linear boundary value problems to obtain the existence and multiplicity results for sign-changing solutions. We also give a clear description of locations of these sign-changing solutions through strict lower and upper solutions. As an example, in the last section we obtain some existence and multiplicity results for sign-changing solutions of some Sturm–Liouville differential boundary value problems.
DOI : 10.1017/S0017089511000115
Mots-clés : 47H07, 47H10 
XIAN, XU. SIGN-CHANGING SOLUTIONS OF (e1, B)-LIMIT INCREASING OPERATOR EQUATION*. Glasgow mathematical journal, Tome 53 (2011) no. 3, pp. 535-554. doi: 10.1017/S0017089511000115
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     author = {XIAN, XU},
     title = {SIGN-CHANGING {SOLUTIONS} {OF} (e1, {B)-LIMIT} {INCREASING} {OPERATOR} {EQUATION*}},
     journal = {Glasgow mathematical journal},
     pages = {535--554},
     year = {2011},
     volume = {53},
     number = {3},
     doi = {10.1017/S0017089511000115},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000115/}
}
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