Existence, Decay, and Blow-up of Solutions for a Weighted m -Biharmonic Equation with Nonlinear Damping and Source Terms

Ercan ÇELİK

In this paper, we consider the weighted m-biharmonic equation with nonlinear damping and source terms. We proved the global existence of solutions. Later, the decay of the energy is established by using Nakao's inequality. Finally, we proved the blow-up of solutions in finite time.

Makale 2024 Fen Fakültesi Journal of Function Spaces2024 12 Görüntülenme

An approximate solution of singularly perturbed problem on uniform mesh

Ercan ÇELİK

In this study, we obtain approximate solution for singularly perturbed problem of differential equation having two integral boundary conditions. With this purpose, we propose a new finite difference scheme. First, we construct this exponentially difference scheme on a uniform mesh using the finite difference method. We use the quasilinearization method and the interpolating quadrature formulas to establish the numerical scheme. Then, as a result of the error analysis, we show that the method under study is convergent in the first order. Consequently, theoretical findings are supported by numer ...Daha fazlası

Makale 2024 Fen Fakültesi International Journal of Optimization and Control: Theories & Applications14 ( 1 ) 2 Görüntülenme

Detaylı Arama

Filtreler

Koleksiyon [1]

Araştırmacılar [1]

BM Sürdürülebilir Kalkınma [1]

Fakültesi / Enstitütü [1]

Yayın Türü [1]

Yayımlanma Yılı [1]

Dil [1]

Kaynak [2]

Veri Tabanları [4]

İndex Türü [3]

Yayıncı [2]

Bölümü [1]

Ulusal/Uluslararası [1]

Konu Başlıkları [7]

Existence, Decay, and Blow-up of Solutions for a Weighted m -Biharmonic Equation with Nonlinear Damping and Source Terms

Ercan ÇELİK

An approximate solution of singularly perturbed problem on uniform mesh

Ercan ÇELİK