| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
 |
 127 1 |
| Ultima descărcare din IBN: 2023-12-12 20:35 |
| Căutarea după subiecte similare conform CZU |
| 517.968.2 (5) |
| Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (243) |
 SM ISO690:2012DREGLEA SIDOROV, L. R., SIDOROV, Nikolay, SIDOROV, Denis. The linear Fredholm integral equations with functionals and parameters. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2023, nr. 2(102), pp. 83-91. ISSN 1024-7696. DOI: https://doi.org/10.56415/basm.y2023.i2.p83 |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
||||||
| Numărul 2(102) / 2023 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
|
||||||
| DOI:https://doi.org/10.56415/basm.y2023.i2.p83 | ||||||
| CZU: 517.968.2 | ||||||
| Pag. 83-91 | ||||||
|
||||||
 Descarcă PDF |
||||||
| Rezumat | ||||||
The theory of linear Fredholm integral-functional equations of the second kind with linear functionals and a parameter is considered. The necessary and sufficient conditions are obtained for the coefficients of the equation and those parameter values in the neighbourhood of which the equation has solutions. The leading terms of the asymptotics of the solutions are constructed. The constructive method is proposed for constructing a solution both in the regular case and in the irregular one. In the regular case, the solution is constructed as a Taylor series in powers of the parameter. In the irregular case, the solution is constructed as a Laurent series in powers of the parameter. The example is used to illustrate the proposed constructive theory and method. |
||||||
| Cuvinte-cheie loaded equations, Fredholm equation, asymptotics, holomorphic solution |
||||||
|
|
|
|
