Investigation of solvability condition for sixth-order boundary value problem | Zendy

Akram H. Mahmood | Zendy; Alaa Ahmed Mohamed | Zendy

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Investigation of solvability condition for sixth-order boundary value problem

Author(s) -

Akram H. Mahmood,

Alaa Ahmed Mohamed

Publication year - 2012

Publication title -

mağallaẗ al-tarbiyaẗ wa-al-ʻilm

Language(s) - English

Resource type - Journals

eISSN - 2664-2530

pISSN - 1812-125X

DOI - 10.33899/edusj.2012.59157

Subject(s) - boundary value problem , mathematics , order (exchange) , mixed boundary condition , ordinary differential equation , free boundary problem , value (mathematics) , mathematical analysis , term (time) , elliptic boundary value problem , differential equation , physics , statistics , finance , quantum mechanics , economics

صخلملا ةبترلا نم ةسناجتم ريغ ةيطخ ةيمضافت ةلداعمل لحلا طرش ةسا رد ثحبلا اذى يف انلوانت سداسلا ة عم طورش ةسناجتم ريغ ةيدودح . ناك اذإ ونا ىلإ انمصوت ةسا ردلا هذى للاخ نمو ريغ لح ةسناجتملا ةلأسممل لح ايل ةسناجتملا ريغ ةيدودحلا ميقلا ةلأسم نأف يرفصلا كلذو اذإ ح ريغ دحلا قق طرش سناجتملا لحلا ىطعملا يحيضوتلا لاثملا للاخ نم جئاتنلا ديكأت مت دقو . Abstract This paper is concerned with the solvability condition for nonhomogenous linear boundary value problem for sixth-order ordinary differential equation. Throughout this study, we observed that, when the homogenous problem have nontrivial solution,then the nonhomogenous boundary value problem have a solution in case of nonhomogenous term that satisfied the solvability condition. We justified our results through the given example.

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