Matches in SemOpenAlex for { <https://semopenalex.org/work/W1602442018> ?p ?o ?g. }
Showing items 1 to 70 of
70
with 100 items per page.
- W1602442018 abstract "We examine the autonomous reaction-diffusion system $u_t=lambda_1u_{xx}+f(u,v)u-v$, $v_t=lambda_2v_{xx}+f(u,v)v+u$ for $t>0$ with Dirichlet boundary conditions on $I=(0,1)$, where $lambda_1,lambda_2$ are positive constants. If $lambda_1$ and $lambda_2$ coincide, then the zero solution is the only stationary solution. If the zero solution is unstable and $f$ satisfies some monotonicity condition, then periodic motion can occur. In this case, we actually construct a periodic solution and show, in addition, that it has certain properties. If $lambda_1nelambda_2$, nontrivial stationary solutions might exist---we prove the existence for some values of $lambda_1,lambda_2$. On the other hand, we show that no such nontrivial stationary solution exists if the ratio $lambda_1/lambda_2$ is contained in an interval around $1$ which we will state explicitly." @default.
- W1602442018 created "2016-06-24" @default.
- W1602442018 creator A5064063535 @default.
- W1602442018 date "2000-01-01" @default.
- W1602442018 modified "2023-10-11" @default.
- W1602442018 title "On the existence of stationary and periodic solutions for a class of autonomous reaction-diffusion systems" @default.
- W1602442018 cites W135543600 @default.
- W1602442018 cites W1527296550 @default.
- W1602442018 cites W1560060148 @default.
- W1602442018 cites W1966067080 @default.
- W1602442018 cites W1986547883 @default.
- W1602442018 cites W2046904024 @default.
- W1602442018 cites W2056871685 @default.
- W1602442018 doi "https://doi.org/10.57262/ade/1356651225" @default.
- W1602442018 hasPublicationYear "2000" @default.
- W1602442018 type Work @default.
- W1602442018 sameAs 1602442018 @default.
- W1602442018 citedByCount "0" @default.
- W1602442018 crossrefType "journal-article" @default.
- W1602442018 hasAuthorship W1602442018A5064063535 @default.
- W1602442018 hasBestOaLocation W16024420181 @default.
- W1602442018 hasConcept C110167270 @default.
- W1602442018 hasConcept C114614502 @default.
- W1602442018 hasConcept C121332964 @default.
- W1602442018 hasConcept C134306372 @default.
- W1602442018 hasConcept C138885662 @default.
- W1602442018 hasConcept C2778113609 @default.
- W1602442018 hasConcept C2780813799 @default.
- W1602442018 hasConcept C2988492214 @default.
- W1602442018 hasConcept C33923547 @default.
- W1602442018 hasConcept C37914503 @default.
- W1602442018 hasConcept C41895202 @default.
- W1602442018 hasConcept C62354387 @default.
- W1602442018 hasConcept C62520636 @default.
- W1602442018 hasConcept C69357855 @default.
- W1602442018 hasConcept C72169020 @default.
- W1602442018 hasConceptScore W1602442018C110167270 @default.
- W1602442018 hasConceptScore W1602442018C114614502 @default.
- W1602442018 hasConceptScore W1602442018C121332964 @default.
- W1602442018 hasConceptScore W1602442018C134306372 @default.
- W1602442018 hasConceptScore W1602442018C138885662 @default.
- W1602442018 hasConceptScore W1602442018C2778113609 @default.
- W1602442018 hasConceptScore W1602442018C2780813799 @default.
- W1602442018 hasConceptScore W1602442018C2988492214 @default.
- W1602442018 hasConceptScore W1602442018C33923547 @default.
- W1602442018 hasConceptScore W1602442018C37914503 @default.
- W1602442018 hasConceptScore W1602442018C41895202 @default.
- W1602442018 hasConceptScore W1602442018C62354387 @default.
- W1602442018 hasConceptScore W1602442018C62520636 @default.
- W1602442018 hasConceptScore W1602442018C69357855 @default.
- W1602442018 hasConceptScore W1602442018C72169020 @default.
- W1602442018 hasIssue "10-12" @default.
- W1602442018 hasLocation W16024420181 @default.
- W1602442018 hasOpenAccess W1602442018 @default.
- W1602442018 hasPrimaryLocation W16024420181 @default.
- W1602442018 hasRelatedWork W1996878159 @default.
- W1602442018 hasRelatedWork W2039219076 @default.
- W1602442018 hasRelatedWork W2241840548 @default.
- W1602442018 hasRelatedWork W2260035625 @default.
- W1602442018 hasRelatedWork W2401850100 @default.
- W1602442018 hasRelatedWork W2963754103 @default.
- W1602442018 hasRelatedWork W3103613821 @default.
- W1602442018 hasRelatedWork W3121865331 @default.
- W1602442018 hasRelatedWork W4300181248 @default.
- W1602442018 hasRelatedWork W4302610256 @default.
- W1602442018 hasVolume "5" @default.
- W1602442018 isParatext "false" @default.
- W1602442018 isRetracted "false" @default.
- W1602442018 magId "1602442018" @default.
- W1602442018 workType "article" @default.