TAILIEUCHUNG - Báo cáo toán học: " Existence of solutions for perturbed abstract measure functional differential equations"

Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học được đăng trên tạp chí toán học quốc tế đề tài: Existence of solutions for perturbed abstract measure functional differential equations | Wan and Sun Advances in Difference Equations 2011 2011 67 http content 2011 1 67 o Advances in Difference Equations a SpringerOpen Journal RESEARCH Open Access Existence of solutions for perturbed abstract measure functional differential equations Xiaojun Wan and Jitao Sun Correspondence sunjt@ Department of Mathematics Tongji University Shanghai 200092 China Springer Abstract In this article we investigate existence of solutions for perturbed abstract measure functional differential equations. Based on the Arzelà-Ascoli theorem and the fixed point theorem we give sufficient conditions for existence of solutions for a class of perturbed abstract measure functional differential equations. Our system includes the systems studied in some previous articles as special cases and our sufficient conditions for existence of solutions are less conservative. An example is given to illustrate the effectiveness of our existence theorem of solutions. 1 Introduction Abstract measure differential equations are more general than difference equations differential equations and differential equations with impulses. The study of abstract measure differential equations was initiated by Sharma 1 in 1970s. From then on properties of abstract measure differential equations have been researched by various authors. But up to now there were only some limited results on abstract measure differential equations can be found such as existence 2-6 uniqueness 2 3 5 and extremal solutions 3 4 6 . There were also several researches on abstract measure integrodifferential equations 7 8 . The study on abstract measure differential equations is still rare. Recently there were a number of focuses on existence problems for example see 9-11 and references therein and functional differential equations were also investigated widely such as work done in 12-14 . However there were only very few results on existence of solutions for abstract measure functional .

TÀI LIỆU LIÊN QUAN
TỪ KHÓA LIÊN QUAN
TAILIEUCHUNG - Chia sẻ tài liệu không giới hạn
Địa chỉ : 444 Hoang Hoa Tham, Hanoi, Viet Nam
Website : tailieuchung.com
Email : tailieuchung20@gmail.com
Tailieuchung.com là thư viện tài liệu trực tuyến, nơi chia sẽ trao đổi hàng triệu tài liệu như luận văn đồ án, sách, giáo trình, đề thi.
Chúng tôi không chịu trách nhiệm liên quan đến các vấn đề bản quyền nội dung tài liệu được thành viên tự nguyện đăng tải lên, nếu phát hiện thấy tài liệu xấu hoặc tài liệu có bản quyền xin hãy email cho chúng tôi.
Đã phát hiện trình chặn quảng cáo AdBlock
Trang web này phụ thuộc vào doanh thu từ số lần hiển thị quảng cáo để tồn tại. Vui lòng tắt trình chặn quảng cáo của bạn hoặc tạm dừng tính năng chặn quảng cáo cho trang web này.