FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W120649782> ?p ?o ?g. }

• W120649782 endingPage "190" @default.
• W120649782 startingPage "173" @default.
• W120649782 abstract "This chapter discusses a geometric approach of the singularly perturbed turning-point problem. In the boundary layer, f(x,ε) is almost constant so the nonconstant solutions are growing or dying exponentials, depending on the sign of f. For f > 0, the exponential solutions decay so the boundary layer must be placed at the left; for f < 0, the boundary layer is on the right. The point x = 0, where f changes sign, is called a turning point. As f > 0 for x < 0 and f < 0 for x > 0, boundary layers are possible at both the left and right endpoints. Indeed for almost all equations with a turning point, there is a unique solution y(x, ɛ) to the boundary value problem, and this solution has both boundary layers; in the interior, y(x, ɛ) converge s to zero as ɛ ε 0. There are, however, some special cases in which the solution does not decay to zero as ɛ ε 0. On the turning point problem, resonance is treated in the context of a boundary value problem: The solution to some boundary value problem does not decay to zero as ɛ ε 0. Resonance as a phenomenon is regarded depending only on the equation, independent of boundary conditions. In general, it is impossible to check for resonance using asymptotic expansions in powers of ɛ: The Matkowsky criteria are really nonresonance criteria, useful for ruling out resonance." @default.
• W120649782 created "2016-06-24" @default.
• W120649782 creator A5081573164 @default.
• W120649782 date "1980-01-01" @default.
• W120649782 modified "2023-09-26" @default.
• W120649782 title "The Singularly Perturbed Turning-Point Problem: A Geometric Approach" @default.
• W120649782 cites W1984536269 @default.
• W120649782 cites W2002248925 @default.
• W120649782 cites W2016767879 @default.
• W120649782 cites W2023425012 @default.
• W120649782 cites W2045755160 @default.
• W120649782 cites W2055215893 @default.
• W120649782 cites W2059625173 @default.
• W120649782 cites W2062378799 @default.
• W120649782 cites W2113271862 @default.
• W120649782 cites W2158207266 @default.
• W120649782 cites W2266022734 @default.
• W120649782 cites W2309147054 @default.
• W120649782 cites W2326647020 @default.
• W120649782 cites W2512013708 @default.
• W120649782 cites W2607473961 @default.
• W120649782 doi "https://doi.org/10.1016/b978-0-12-493260-9.50011-4" @default.
• W120649782 hasPublicationYear "1980" @default.
• W120649782 type Work @default.
• W120649782 sameAs 120649782 @default.
• W120649782 citedByCount "10" @default.
• W120649782 countsByYear W1206497822012 @default.
• W120649782 countsByYear W1206497822013 @default.
• W120649782 countsByYear W1206497822014 @default.
• W120649782 crossrefType "book-chapter" @default.
• W120649782 hasAuthorship W120649782A5081573164 @default.
• W120649782 hasConcept C111603439 @default.
• W120649782 hasConcept C121332964 @default.
• W120649782 hasConcept C134306372 @default.
• W120649782 hasConcept C138885662 @default.
• W120649782 hasConcept C139210041 @default.
• W120649782 hasConcept C139676723 @default.
• W120649782 hasConcept C151376022 @default.
• W120649782 hasConcept C151730666 @default.
• W120649782 hasConcept C180188523 @default.
• W120649782 hasConcept C182310444 @default.
• W120649782 hasConcept C199360897 @default.
• W120649782 hasConcept C24890656 @default.
• W120649782 hasConcept C2524010 @default.
• W120649782 hasConcept C2777027219 @default.
• W120649782 hasConcept C2779343474 @default.
• W120649782 hasConcept C2780813799 @default.
• W120649782 hasConcept C2781291010 @default.
• W120649782 hasConcept C28719098 @default.
• W120649782 hasConcept C3018122192 @default.
• W120649782 hasConcept C33923547 @default.
• W120649782 hasConcept C41008148 @default.
• W120649782 hasConcept C41895202 @default.
• W120649782 hasConcept C42045870 @default.
• W120649782 hasConcept C62354387 @default.
• W120649782 hasConcept C62520636 @default.
• W120649782 hasConcept C86803240 @default.
• W120649782 hasConcept C97355855 @default.
• W120649782 hasConceptScore W120649782C111603439 @default.
• W120649782 hasConceptScore W120649782C121332964 @default.
• W120649782 hasConceptScore W120649782C134306372 @default.
• W120649782 hasConceptScore W120649782C138885662 @default.
• W120649782 hasConceptScore W120649782C139210041 @default.
• W120649782 hasConceptScore W120649782C139676723 @default.
• W120649782 hasConceptScore W120649782C151376022 @default.
• W120649782 hasConceptScore W120649782C151730666 @default.
• W120649782 hasConceptScore W120649782C180188523 @default.
• W120649782 hasConceptScore W120649782C182310444 @default.
• W120649782 hasConceptScore W120649782C199360897 @default.
• W120649782 hasConceptScore W120649782C24890656 @default.
• W120649782 hasConceptScore W120649782C2524010 @default.
• W120649782 hasConceptScore W120649782C2777027219 @default.
• W120649782 hasConceptScore W120649782C2779343474 @default.
• W120649782 hasConceptScore W120649782C2780813799 @default.
• W120649782 hasConceptScore W120649782C2781291010 @default.
• W120649782 hasConceptScore W120649782C28719098 @default.
• W120649782 hasConceptScore W120649782C3018122192 @default.
• W120649782 hasConceptScore W120649782C33923547 @default.
• W120649782 hasConceptScore W120649782C41008148 @default.
• W120649782 hasConceptScore W120649782C41895202 @default.
• W120649782 hasConceptScore W120649782C42045870 @default.
• W120649782 hasConceptScore W120649782C62354387 @default.
• W120649782 hasConceptScore W120649782C62520636 @default.
• W120649782 hasConceptScore W120649782C86803240 @default.
• W120649782 hasConceptScore W120649782C97355855 @default.
• W120649782 hasLocation W1206497821 @default.
• W120649782 hasOpenAccess W120649782 @default.
• W120649782 hasPrimaryLocation W1206497821 @default.
• W120649782 hasRelatedWork W1500863000 @default.
• W120649782 hasRelatedWork W1994752097 @default.
• W120649782 hasRelatedWork W2054776150 @default.
• W120649782 hasRelatedWork W2078180565 @default.
• W120649782 hasRelatedWork W2100405323 @default.
• W120649782 hasRelatedWork W2164596632 @default.
• W120649782 hasRelatedWork W2586669896 @default.
• W120649782 hasRelatedWork W2963656442 @default.
• W120649782 hasRelatedWork W3097405725 @default.
• W120649782 hasRelatedWork W3122009904 @default.

• next