Sự tồn tại toàn cục của các nghiệm nhẹ của phương trình vi phân tích hợp phi tuyến bậc hai Volterra trong không gian Banach

Differential Equations and Dynamical Systems - Tập 17 - Trang 331-342 - 2010
H. L. Tidke1, M. B. Dhakne1
1Department of Mathematics, School of Mathematical Sciences, North Maharashtra University, Jalgaon, India

Tóm tắt

Trong bài báo này, chúng tôi nghiên cứu sự tồn tại và tính duy nhất của các nghiệm nhẹ cho các bài toán giá trị ban đầu bậc hai, với các điều kiện phi địa phương, bằng cách sử dụng định lý điểm cố định Banach và lý thuyết của họ các hàm cosine liên tục mạnh.

Từ khóa

#nghiệm nhẹ #phương trình vi phân #điều kiện phi địa phương #định lý điểm cố định Banach #không gian Banach

Tài liệu tham khảo

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