TAILIEUCHUNG - Báo cáo " Oscilation and Convergence for a Neutral Difference Equation "

The oscillation and convergence of the solutions of neutral difference equation r ∆(xn + δxn−τ ) + i=1 αi (n)F (xn−mi ) = 0, n = 0, 1, · · · are investigated, where mi ∈ N0 , ∀i = 1, r and F is a function mapping R to R. Keyworks: Neutral difference equation, oscillation, nonoscillation, convergence. | VNU Journal of Science Mathematics - Physics 24 2008 133-143 Oscilation and Convergence for a Neutral Difference Equation Dinh Cong Huong Dept. of Math Quy Nhon University 170 An Duong Vuong Quynhon Binhdinh Vietnam Received 24 April 2008 Abstract. The oscillation and convergence of the solutions of neutral difference equation r A xn Ỗxn T 5 ai n F xn mi 0 n 0 1 i 1 are investigated where mị G No Vi 1 r and F is a function mapping R to R. Keyworks Neutral difference equation oscillation nonoscillation convergence. 1. Introduction It is well-known that difference equation A xn Ỗxn T a n xn Ơ 0 1 where n G N the operator A is defined as Axn xn 1 xn the function a n is defined on N Ỗ is a constant T is a positive integer and Ơ is a nonnegative integer was first considered by Brayton and Willoughby from the numerical point of view see 1 . In recent years the asymptotic behavior of solutions of this equation has been studied extensively see 2-7 . In 4 6 7 the oscillation of solutions of the difference equation 1 was discussed. Motivated by the work above in this paper we aim to study the oscillation and convergence of solutions of neutral difference equation r A xn Ỗxn T 52 a n F xn mi 0 2 i 1 for n G N n f a for some a G N where r m1 m2 mr are fixed positive integers the functions ai n are defined on N and the function F is defined on R. Put A max T m1 mr . Then by a solution of 2 we mean a function which is defined for n f A and sastisfies the equation 2 for n G N. Clearly if xn an n A A 1 1 0 are given then 2 has a unique solution and it can be constructed recursively. A nontrivial solution xn n a of 2 is called oscillatory if for any n1 f a there exists n2 n1 such that xn2xn2 1 0. The difference equation 2 is called oscillatory if all its solutions are oscillatory. Otherwise it is called nonoscillatory. Tel. 0984769741 E-mail dconghuong@ 133 134 . Huong VNU Journal of Science Mathematics - Physics 24 2008 133-143 2. Main results . The Oscillation .

• Báo cáo khoa học
• Oscilation
• Mathematics
• Physics
• Scientific reports
• scientific studies
• natural sciences
• Oscilation of high – rise buildings
• Coercive forces
• Oscilation of high – Rise buildings subjected
• Rise buildings subjected
• Top floor of the building
• Electromagnetic Oscilation
• Eletromagnetic Field and Wave
• vật lý
• bài giảng vật lý bậc đại học
• khoa học tự nhiên
• Giới thiệu Thư viện số
• Natural Sciences Digital Library
• Thư viện số
• Digital Library
• Bộ sưu tập Thư viện số
• Summary of Doctoral Thesis
• Educational Sciences
• Methodology in Biology
• Developing textbooks’ models
• Orientation of competency development
• Methods of teaching natural science
• Annals of Agricultural Sciences
• Agricultural Sciences
• Khoa học nông nghiệp
• Natural preservatives
• Cold storage
• the natural sciences
• the social sciences
• conduct and misconduct
• Misconduct and why it occurs
• misconduct affecting
• the truth claims
• Molecular cryocrystal
• Elastic moduli
• Elastic wave
• Elastic constants
• Mathematical sciences
• Physical sciences
• Sciences
• GMAT
• math test
• McGraw Hills GMAT
• Environmental sciences
• Earth sciences
• Natural organic matters removal
• Water purification
• DBPs control
• Technology sciences
• Vecny este epoxy alkyd
• Tính chất điện
• Độ bền dung môi
• Độ bền nhiệt
• Detailed checklist
• Field labels
• Grammitid specimens
• VNU University of Science
• Xác định biên
• Dị thường từ
• Dị thường trọng lực
• Bắc Việt Nam
• Mỡ cá tra
• Etyl cacboxylate
• Etyl biodiesel
• Este axit omega 3 6 9
• Phương pháp đồng dung môi
• Đồng dung môi
• Hợp chất chứa dị vòng
• Chất xúc tác
• Phản ứng Sonogashira
• Hợp chất dị vòng năm cạnh
• Phản ứng Click
• Nano đồng
• Nano silica
• Khả năng kháng nấm
• Pyricularia oryzae
• Rhizoctonia solani
• Phân loại thực vật
• Lạng Sơn
• Aspidistra papillata
• Plant taxonomy
• Arachniodes simplicior
• Flora of Vietnam
• New record
• Phản ứng ngưng tụ croton
• Hoạt tính kháng khuẩn
• Chương trình PASS
• Dẫn xuất thiopodand
• Vật liệu nano
• Tính chất quang
• Tính chất từ
• Vật liệu nano HoFeO3
• Cảm biến miễn dịch điện hóa
• Kháng thể IgY
• Virus Newcastle
• Bình phản ứng mini
• Xúc tác lưỡng kim loại Co2Cu2
• CI NEB cơ chế phản ứng
• Phản ứng hydrogen hóa carbon monoxide
• Bọ rùa hai mảng đỏ
• Lemnia biplagiata
• Tỷ lệ sống sót
• Tỷ lệ vào nhộng
• Năng ăn con mồi
• Chất lượng nước
• Động vật nổi
• Thành phần loài
• Kênh Bún Xáng
• Đa dạng sinh học
• Camphor
• science and technology
• research projects
• scientific research
• Natural resources
• Research
• Natural radioactivity
• Major and accessory minerals
• Gamma ray spectrometry
• Wall rock granitoids
• Natural sciences and Technology
• Immune cells expansion
• Peripheral blood
• Immune cell therapy
• Natural killer cells
• Cytotoxic T lymphocytes
• Peripheral blood mononuclear cells