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Ultima descărcare din IBN: 2023-10-21 12:10 |
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517.968 (17) |
Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (243) |
SM ISO690:2012 DREGLEA, Aliona, SIDOROV, Nikolay, SIDOROV, Denis. Construction of solutions of integral equations with Stieltjes functionals and bifurcation parameters. In: Acta et commentationes (Ştiinţe Exacte și ale Naturii), 2021, nr. 2(12), pp. 43-49. ISSN 2537-6284. DOI: https://doi.org/10.36120/2587-3644.v12i2.43-49 |
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Acta et commentationes (Ştiinţe Exacte și ale Naturii) | ||||||
Numărul 2(12) / 2021 / ISSN 2537-6284 /ISSNe 2587-3644 | ||||||
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DOI:https://doi.org/10.36120/2587-3644.v12i2.43-49 | ||||||
CZU: 517.968 | ||||||
MSC 2010: 45D05, 37G10. | ||||||
Pag. 43-49 | ||||||
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The nonlinearVolterra integral equations with loads on the desired solution are studied. Loads are given using the Stieltjes integrals. The equations contain a parameter, for any value of which the equation has a trivial solution. The necessary and sufficient conditions on the values of the parameter are derived in the neighborhood where the equation has nontrivial real solutions. |
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Cuvinte-cheie nonlinear Volterra equations, Newton–Puiseux decompositions, bifurcation points, asymptotics, Stieltjes integral, loads, ecuatii Volterra neliniare, decompozitia Newton–Puiseux, puncte de bifurcatie, asimptotic, integrala Stieltjes, sarcini |
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DataCite XML Export
<?xml version='1.0' encoding='utf-8'?> <resource xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xmlns='http://datacite.org/schema/kernel-3' xsi:schemaLocation='http://datacite.org/schema/kernel-3 http://schema.datacite.org/meta/kernel-3/metadata.xsd'> <identifier identifierType='DOI'>10.36120/2587-3644.v12i2.43-49</identifier> <creators> <creator> <creatorName>Dreglea, A.I.</creatorName> <affiliation>Иркутский государственный технический университет, Иркутск, Rusia</affiliation> </creator> <creator> <creatorName>Sidorov, N.A.</creatorName> <affiliation>Иркутский государственный технический университет, Иркутск, Rusia</affiliation> </creator> <creator> <creatorName>Sidorov, D.</creatorName> <affiliation>Иркутский государственный технический университет, Иркутск, Rusia</affiliation> </creator> </creators> <titles> <title xml:lang='en'>Construction of solutions of integral equations with Stieltjes functionals and bifurcation parameters</title> </titles> <publisher>Instrumentul Bibliometric National</publisher> <publicationYear>2021</publicationYear> <relatedIdentifier relatedIdentifierType='ISSN' relationType='IsPartOf'>2537-6284</relatedIdentifier> <subjects> <subject>nonlinear Volterra equations</subject> <subject>Newton–Puiseux decompositions</subject> <subject>bifurcation points</subject> <subject>asymptotics</subject> <subject>Stieltjes integral</subject> <subject>loads</subject> <subject>ecuatii Volterra neliniare</subject> <subject>decompozitia Newton–Puiseux</subject> <subject>puncte de bifurcatie</subject> <subject>asimptotic</subject> <subject>integrala Stieltjes</subject> <subject>sarcini</subject> <subject schemeURI='http://udcdata.info/' subjectScheme='UDC'>517.968</subject> </subjects> <dates> <date dateType='Issued'>2021-12-29</date> </dates> <resourceType resourceTypeGeneral='Text'>Journal article</resourceType> <descriptions> <description xml:lang='en' descriptionType='Abstract'><p>The nonlinearVolterra integral equations with loads on the desired solution are studied. Loads are given using the Stieltjes integrals. The equations contain a parameter, for any value of which the equation has a trivial solution. The necessary and sufficient conditions on the values of the parameter are derived in the neighborhood where the equation has nontrivial real solutions.</p></description> <description xml:lang='ro' descriptionType='Abstract'><p>În lucrare sunt studiate ecuat,iile integrale neliniare Volterra cu sarcini pe solut,ia dorita. Sarcinile sunt date folosind integralele Stieltjes. Ecuat,iile cont,in un parametru, pentru oricare valoare a caruia ecuat,ia are o solut,ie banala. Condit,iile necesare s, i suficiente asupra valorilor parametrului sunt obtinute în vecinatatea în care ecuatia are solutii reale nebanale.</p></description> </descriptions> <formats> <format>application/pdf</format> </formats> </resource>