وجود جوابهای یک معادله دیفرانسیل کسری جدید p-لاپلاسین با اثر ضربه ای
الموضوعات :نعمت‌اله نیامرادی 1 , عبدالرحمن رازانی 2
1 - گروه ریاضی، دانشکده علوم، دانشگاه رازی، کرمانشاه، ایران
2 - گروه ریاضی محض، دانشکده علوم پایه، دانشگاه بین‌المللی امام خمینی(ره)، قزوین، ایران
الکلمات المفتاحية: Impulsive, Fractional differential equations, Solutions, Variational methods,
ملخص المقالة :
معادلات دیفرانسیل با اثر ضربهای از فرایندهای دینامیکی با جهش‌های ناپیوسته رخ خواهد داد. محققین زیادی وجود جوابهای معادلات دیفرانسی کسری ضربهای با استفاده از نظریه نقطه ثابت، نظریه درجه توپولوژیکی، روش جوا‌های بالا و پایین و روش‌های تکراری یکنوا را مورد مطالعه و بررسی قرار داده-اند. در این مقاله، وجود جواب‌ها برای یک کلاس از معادلات دیفرانسیل کسری p-لاپلاسین جدید با اثر ضربهای را مورد مطالعه قرار خواهیم داد. با استفاده از قضیه نقطه بحرانی و روش‌های تغییراتی نشان خواهیم داد که این معادله دیفراتسل ضربهای بی‌نهایت جواب دارد.
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