Construction of solutions of integral equations with Stieltjes functionals and bifurcation parameters
Vol 12 No 2 (2021), Статьи
Vol 12 No 2 (2021)

Construction of solutions of integral equations with Stieltjes functionals and bifurcation parameters

Статьи
https://doi.org/10.36120/2587-3644.v12i2.43-49
Published February 2, 2022
Aliona Dreglea
Irkutsk National Research Technical University
Nikolai Sidorov
Irkutsk National Research Technical University
Denis Sidorov
Irkutsk National Research Technical University

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Keywords

nonlinear Volterra equations, Newton–Puiseux decompositions, bifurcationpoints, asymptotics, Stieltjes integral, loads.

How to Cite

Dreglea , A., Sidorov , N., & Sidorov , D. (2022). Construction of solutions of integral equations with Stieltjes functionals and bifurcation parameters. Acta Et Commentationes Exact and Natural Sciences, 12(2), 43-49. https://doi.org/10.36120/2587-3644.v12i2.43-49
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Abstract

The nonlinear Volterra 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 theequation has nontrivial real solutions.

https://doi.org/10.36120/2587-3644.v12i2.43-49
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