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Boundary‐value problems for the third‐order loaded equation with noncharacteristic type‐change boundaries
Author(s) -
Baltaeva Umida,
Agarwal Praveen
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4817
Subject(s) - mathematics , boundary value problem , mathematical analysis , type (biology) , order (exchange) , third order , variable (mathematics) , differential equation , free boundary problem , partial differential equation , integro differential equation , first order partial differential equation , ecology , finance , economics , biology , philosophy , theology
The purpose of this paper is to establish unique solvability for a certain generalized boundary‐value problem for a loaded third‐order integro‐differential equation with variable coefficients. Moreover, the method of integral equations is applied to obtain an equation related to the Riemann‐Liouville operators.