On the solution n -dimensional of the product k operator and diamond bessel operator

Firstly, we studied the solution of the equation ⊗k◇Bku (x) = f (x) where u (x) is an unknown unknown function for x = (x 1, x 2,⋯,xn) n, f (x) is the generalized function, k is a positive integer. Finally, we have studied the solution of the nonlinear equation ⊗k B ◇u(x) = f(x,k- 1LkΔBkBku (x)). It...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Amnuay Kananthai, Wanchak Satsanit
التنسيق: دورية
منشور في: 2018
الموضوعات:
الوصول للمادة أونلاين:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77952508350&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/50815
الوسوم: إضافة وسم
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المؤسسة: Chiang Mai University
الوصف
الملخص:Firstly, we studied the solution of the equation ⊗k◇Bku (x) = f (x) where u (x) is an unknown unknown function for x = (x 1, x 2,⋯,xn) n, f (x) is the generalized function, k is a positive integer. Finally, we have studied the solution of the nonlinear equation ⊗k B ◇u(x) = f(x,k- 1LkΔBkBku (x)). It was found that the existence of the solution u (x) of such an equation depends on the condition of f andk-1LkΔBkBku(x). Moreover such solution u (x) is related to the inhomogeneous wave equation depending on the conditions of p, q, and k. Copyright © 2010 W. Satsanit and A. Kananthai.