Ontology type: schema:ScholarlyArticle
2015-03
AUTHORSRichard I. Avery, John R. Graef, Xueyan Liu
ABSTRACTThis paper is concerned with new fixed point theorems of operator type that are proved by fixed point index theory and are generalizations of the Leggett–Williams fixed point theorems. With additional structures on the inward and outward boundaries of a conical region, the theorems can be used to prove the existence of solutions of boundary value problems for nonlinear differential equations with dependence on higher-order derivatives, and they can provide nonlocal upper and lower bounds on the solutions. An application is given to demonstrate these advantages. More... »
PAGES83-97
http://scigraph.springernature.com/pub.10.1007/s11784-015-0228-1
DOIhttp://dx.doi.org/10.1007/s11784-015-0228-1
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