Open AccessConstruction of solutions of integral equations with Stieltjes functionals and bifurcation parameters
Author(s) -
Aliona Dreglea,
N. V. Sidorov,
Denis Sidorov
Publication year - 2022
Publication title -
acta et commentationes: ştiinţe exacte şi ale naturii
Language(s) - English
Resource type - Journals
eISSN - 2587-3644
pISSN - 2537-6284
DOI - 10.36120/2587-3644.v12i2.43-49
Subject(s) - riemann–stieltjes integral , mathematics , integral equation , nonlinear system , bifurcation , mathematical analysis , volterra integral equation , physics , quantum mechanics
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.