zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Positive solutions of semi-positone Hammerstein integral equations and applications. (English) Zbl 1134.45005

The author considers the following Hammerstein integral equation:

y(t)= 0 1 k(t,s)g(s)f(s,y(s))ds,t[0,1],(1)

where f:[0,1]× + is continuous, and such that f>-η for some η>0; the kernel k:[0,1]×[0,1] + is continuous; g:[0,1] + is measurable. The author uses the fixed-point index theory to prove the existence of one or several positive solutions for problem (1). Furthermore, he applies the obtained results to some nth order ordinary differential equations with boundary conditions.

45G10Nonsingular nonlinear integral equations
47H30Particular nonlinear operators
45M20Positive solutions of integral equations
34B15Nonlinear boundary value problems for ODE