Özen, Kemal2024-10-292024-10-2920242148-1830https://doi.org/10.47000/tjmcs.1354599https://search.trdizin.gov.tr/tr/yayin/detay/1247271https://hdl.handle.net/20.500.11776/12555This work proposes a necessary and sufficient condition such as Pontryagin’s maximum principle for an optimal control problem with distributed parameters, which is described by the fourth-order Bianchi equation involving coefficients in variable exponent Lebesgue spaces. The problem is studied by aid of a novel version of the increment method that essentially uses the concept of the adjoint equation of integral type. © MatDer.en10.47000/tjmcs.1354599info:eu-repo/semantics/openAccess4D optimal controlBianchi equationPontryagin’s maximum principlevariable exponent Lebesgue spacesvariable exponent Sobolev spacesArticle16145632-s2.0-852025453081247271