Matches in SemOpenAlex for { <https://semopenalex.org/work/W2949230882> ?p ?o ?g. }
Showing items 1 to 59 of
59
with 100 items per page.
- W2949230882 abstract "Suppose that an $n$-dimensional Cauchy problem frac{dx}{dt}=f(t,x,mu) (t in I, mu in M), x(t_0)=x^0 satisfies the conditions that guarantee existence, uniqueness and continuous dependence of solution x(t,t_0,mu) on parameter mu in an open set M. We show that if one additionally requires that family {f(t,x,cdot)}_{(t,x)} is equicontinuous, then the dependence of solution x(t,t_0,mu) on parameter mu in M is uniformly continuous. An analogous result for a linear n times n-dimensional Cauchy problem frac{dX}{dt}=A(t,mu)X+Phi(t,mu) (t in I, mu in M), X(t_0,mu)=X^0(mu) is valid under the assumption that the integrals int_I|A(t,mu_1)-A(t,mu_2)|dt and int_I |Phi(t,mu_1)-Phi(t,mu_2)|dt can be made smaller than any given constant (uniformly with respect to mu_1, mu_2 in M) provided that |mu_1-mu_2| is sufficiently small." @default.
- W2949230882 created "2019-06-27" @default.
- W2949230882 creator A5052312786 @default.
- W2949230882 date "2012-05-01" @default.
- W2949230882 modified "2023-09-27" @default.
- W2949230882 title "On uniform continuous dependence of solution of Cauchy problem on a parameter" @default.
- W2949230882 hasPublicationYear "2012" @default.
- W2949230882 type Work @default.
- W2949230882 sameAs 2949230882 @default.
- W2949230882 citedByCount "0" @default.
- W2949230882 crossrefType "posted-content" @default.
- W2949230882 hasAuthorship W2949230882A5052312786 @default.
- W2949230882 hasConcept C114614502 @default.
- W2949230882 hasConcept C121332964 @default.
- W2949230882 hasConcept C134306372 @default.
- W2949230882 hasConcept C182539199 @default.
- W2949230882 hasConcept C26955809 @default.
- W2949230882 hasConcept C2777021972 @default.
- W2949230882 hasConcept C33923547 @default.
- W2949230882 hasConcept C37914503 @default.
- W2949230882 hasConcept C49344536 @default.
- W2949230882 hasConcept C62520636 @default.
- W2949230882 hasConceptScore W2949230882C114614502 @default.
- W2949230882 hasConceptScore W2949230882C121332964 @default.
- W2949230882 hasConceptScore W2949230882C134306372 @default.
- W2949230882 hasConceptScore W2949230882C182539199 @default.
- W2949230882 hasConceptScore W2949230882C26955809 @default.
- W2949230882 hasConceptScore W2949230882C2777021972 @default.
- W2949230882 hasConceptScore W2949230882C33923547 @default.
- W2949230882 hasConceptScore W2949230882C37914503 @default.
- W2949230882 hasConceptScore W2949230882C49344536 @default.
- W2949230882 hasConceptScore W2949230882C62520636 @default.
- W2949230882 hasLocation W29492308821 @default.
- W2949230882 hasOpenAccess W2949230882 @default.
- W2949230882 hasPrimaryLocation W29492308821 @default.
- W2949230882 hasRelatedWork W1429879190 @default.
- W2949230882 hasRelatedWork W1502762367 @default.
- W2949230882 hasRelatedWork W1588364243 @default.
- W2949230882 hasRelatedWork W2018152140 @default.
- W2949230882 hasRelatedWork W2043180073 @default.
- W2949230882 hasRelatedWork W2117612480 @default.
- W2949230882 hasRelatedWork W2231309276 @default.
- W2949230882 hasRelatedWork W2367786337 @default.
- W2949230882 hasRelatedWork W2560790197 @default.
- W2949230882 hasRelatedWork W2939057675 @default.
- W2949230882 hasRelatedWork W2949695862 @default.
- W2949230882 hasRelatedWork W2951571005 @default.
- W2949230882 hasRelatedWork W2952575203 @default.
- W2949230882 hasRelatedWork W2963754350 @default.
- W2949230882 hasRelatedWork W2998881192 @default.
- W2949230882 hasRelatedWork W3037124231 @default.
- W2949230882 hasRelatedWork W3103808916 @default.
- W2949230882 hasRelatedWork W640966433 @default.
- W2949230882 hasRelatedWork W82842727 @default.
- W2949230882 hasRelatedWork W1681198927 @default.
- W2949230882 isParatext "false" @default.
- W2949230882 isRetracted "false" @default.
- W2949230882 magId "2949230882" @default.
- W2949230882 workType "article" @default.