وجود جواب های چندگانه مسائل مقدار مرزی اشتورم- لیوویل

نویسندگان
هادی حق شناس
قاسم علیزاده افروزی
دانشگاه مازندران
چکیده
در این مقاله، بر اساس روش‌های تغییراتی و نظریه نقطه بحرانی، وجود بی‌نهایت جواب کلاسیک را برای یک مسأله مقدار مرزی دو نقطه‌ای با معادله اشتورم-لیوویل مرتبه چهارم تضمین می‌کنیم؛ یافته‌های مقالات اخیر را بهبود بخشیده و مثالی جهت تأیید نتایج اصلی به دست آمده ارائه می‌دهیم.
کلیدواژه‌ها
مسائل مقدار مرزی اشتورم- لیوویل
روش‌های تغییراتی
نظریه نقطه بحرانی
بی‌نهایت جواب

عنوان مقاله English

Existence of multiple solutions for Sturm-Liouville boundary value problems

نویسندگان English

Hadi Haghshenas
Ghasem alizadeh Afrouzi
University of Mazandaran
چکیده English

In this paper, based on variational methods and critical point theory, we guarantee the existence of infinitely many classical solutions for a two-point boundary value problem with fourth-order Sturm-Liouville equation; Some recent results are improved and by presenting one example, we ensure the applicability of our results.

کلیدواژه‌ها English

Sturm-Liouville boundary value problems
Variational methods
critical point theory
Infinitely many solutions
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