New results on a partial differential equation with general piecewise constant argument
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Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Matematikçiler Derneği
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
here have been very few analyses on partial differential equations with piecewise constant arguments and as far as we know, there is no study conducted on heat equation with piecewise constant argument of generalized type. Motivated by this fact, this study aims to solve and analyse heat equation with piecewise constant argument of generalized type. We obtain formal solution of heat equation with piecewise constant argument of generalized type by separation of variables. We apply the Laplace transform method using unit step function and method of steps on each consecutive intervals. We investigate stability, oscillation, boundedness properties of solutions.
Açıklama
Anahtar Kelimeler
Partial Differential Equation, Laplace Transformation, Heat Equation, zeros of Solutions, Oscillation, Piecewise Constant Argument
Kaynak
Turkish Journal of Mathematics and Computer Science
WoS Q Değeri
Scopus Q Değeri
Cilt
15
Sayı
2
