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517.968 (17) |
Дифференциальные, интегральные и другие функциональные уравнения. Конечные разности. Вариационное исчисление. Функциональный анализ (246) |
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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