Positive solutions of a three-point  boundary-value problem for $\mathcal {p}$-Laplacian   dynamic equation  on time scales

A. Dogan

doi:10.37863/umzh.v72i6.646

A. Dogan Dep. Appl. Math., Abdullah Gul Univ., Kayseri, Turkey

DOI: https://doi.org/10.37863/umzh.v72i6.646

Анотація

УДК 517.9

Розглядається триточкова крайова задача для динамiчного рiвняння iз $p$-лапласiаном на часових шкалах. За допомогою теореми Ейвери та Петерсона про нерухому точку доведено iснування принаймнi трьох додатних розв’язкiв такої крайової задачi. Умови, якi використовуються тут, вiдрiзняються вiд умов, якi використано у бiльшостi вiдомих нам робiт. Цiкавим моментом є те, що нелiнiйний член $f$ мiстить першу похiдну невiдомої функцiї. Як застосування наведено приклад для iлюстрацiї отриманих результатiв.

Посилання

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