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)
Solvability of Neumann boundary-value problems with Caratheodory nonlinearities. (English) Zbl 1095.34516
From the introduction: The authors give an existence result for the Neumann boundary value problem associated to a second-order equation of the form $u''+ f(t,u,u')=0$, where $f$ satisfies the Carathéodory conditions. It is assumed that there exists $M_0>0$ such that $[\int^1_0f(t,M_0,0)dt] [\int^1_0f(t,-M_0,0)dt]<0$, together with a Nagumo-type condition. The authors provide a priori bounds on the $C^1$-norm of the (possible) solutions to a parameter-dependent problem associated to the given one; existence is then achieved by using degree arguments (more precisely, the “topological transversality theorem”).

34B15Nonlinear boundary value problems for ODE
47H11Degree theory (nonlinear operators)
47J05Equations involving nonlinear operators (general)
Full Text: EMIS EuDML