In this paper, we applied an aproximate method (rewriting method) for solution of boundary value problem for ordinary differential equation with retarted argument;$x^{2n}(t)+a{t}x(t-tau)=f(t) hspace{5mm} (0leq t leq 1)$$x^{(i)}(t)=varphi^i(t) hspace{5mm} (-tau leq t leq 0, i= overline {0, n-1})$ $x^{(i)}(1)=x^i_1 (i= overline {0, n-1})$ where a(t)and f(t)are continuous functions.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we applied an aproximate method (rewriting method) for solution of boundary value problem for ordinary differential equation with retarted argument;$x^{2n}(t)+a{t}x(t-tau)=f(t) hspace{5mm} (0leq t leq 1)$$x^{(i)}(t)=varphi^i(t) hspace{5mm} (-tau leq t leq 0, i= overline {0, n-1})$ $x^{(i)}(1)=x^i_1 (i= overline {0, n-1})$ where a(t)and f(t)are continuous functions.
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Key Findings & Data:In this paper, we applied an aproximate method (rewriting method) for solution of boundary value problem for ordinary differential equation with retarted argument;$x^{2n}(t)+a{t}x(t-tau)=f(t) hspace{5mm} (0leq t leq 1)$$x^{(i)}(t)=varphi^i(t) hspace{5mm} (-tau leq t leq 0, i= overline {0, n-1})$ $x^{(i)}(1)=x^i_1 (i= overline {0, n-1})$ where a(t)and f(t)are continuous functions.
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Conclusion & Impact:In this paper, we applied an aproximate method (rewriting method) for solution of boundary value problem for ordinary differential equation with retarted argument;$x^{2n}(t)+a{t}x(t-tau)=f(t) hspace{5mm} (0leq t leq 1)$$x^{(i)}(t)=varphi^i(t) hspace{5mm} (-tau leq t leq 0, i= overline {0, n-1})$ $x^{(i)}(1)=x^i_1 (i= overline {0, n-1})$ where a(t)and f(t)are continuous functions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
In this paper, we applied an aproximate method (rewriting method) for solution of boundary value problem for ordinary differential equation with retarted argument;$x^{2n}(t)+a{t}x(t-tau)=f(t) hspace{5mm} (0leq t leq 1)$$x^{(i)}(t)=varphi^i(t) hspace{5mm} (-tau leq t leq 0, i= overline {0, n-1})$ $x^{(i)}(1)=x^i_1 (i= overline {0, n-1})$ where a(t)and f(t)are continuous functions.
Özet
Bu makalede, a(t)ve f(t) sürekli fonksiyonlar olmak üzere $x^{2n}(t)+a{t}x(t-tau)=f(t) hspace{5mm} (0leq t leq 1)$ $x^{(i)}(t)=varphi^i(t) hspace{5mm} (-tau leq t leq 0, i= overline {0, n-1})$ $x^{(i)}(1)=x^i_1 (i= overline {0, n-1})$ problemi eşdeğer integral denkleme dönüştürülmüş ve Ardışık Yerine Koyma Metodu ile yaklaşık çözümü bulunmuştur.
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Cite This Article
KAÇAR, A., YETİM, S. (2022). An approximate solution for a boundary-value problem with retarted argument. Gazi Üniversitesi Kastamonu Eğitim Dergisi, Cilt: 13 - Sayı: 2, 541–546. https://ajindex.com/articles/523184
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