Dissertation > Excellent graduate degree dissertation topics show

Existence of Positive Solutions for Boundary Value Problems on Time Scales

Author: WangLiLi
Tutor: LiuYanSheng
School: Shandong Normal University
Course: Basic mathematics
Keywords: Time scales Fixed-point theory Boundary value problems Positive solution Cone
CLC: O175.8
Type: Master's thesis
Year: 2009
Downloads: 10
Quote: 0
Read: Download Dissertation

Abstract


The concept of dynamic equations on time scales was firstly introduced in 1990 by Hilger. Then it was rapidly becoming the interest of many mathematician. This new theory provides an unified approach to continuous and discrete calculs. The research work on time scales has been extensivly applied in many areas such as the study of insect population models, heat transfer and so on. There are many systemic theories(see our references). This paper discusses some boundary value problems on time scales, and obtains some useful results on the basis of above discussions.There are four chapters in the paper.Chapter 1 investigates the existence of positive solutions for the following boundary value problemwhere h(t) maybe singular at t = 0 and t =σ(1). It is remarkable that when the nonlinear term does not have singularity, such problems on time scales have been studied extensively. Unfortunately, as far as we know, there is no paper concerned with the above problem when the singularity occurs.Chapter 2 investigates the existence of positive solutions for the p-Laplacian boundary value problemwhere h maybe singular at t＝a and t＝b and nonlinearity f maybe negative . Chapter 3 investigates the following m－point boundary value problemwhere (?), and obtains theexistence of at least one positive solution to the above problem.Chapter 4 investigates the existence of at least one solution for the following first-order periodic implusive differential equations

Related Dissertations

  1. Flow Field Numerical Simulation and Performance Analysis for the Conical Hydrostatic Bearing,TH133.36
  2. Categories of Second Order Ordinary Differential Equations Existence,O175.8
  3. Positive Solutions of Second Order Boundary Value Problems for Singular Differential Equations and Differential Systems,O175.8
  4. Study of the Performance Improvements about the System of Low-profile Vehicle-borne "Mobile Communication",TN927.2
  5. Project Risk Assessment Based on DEA Model and Method,F272
  6. Impulsive Integro - Differential Equations existence theory and its applications,O175.5
  7. An Analysis of Three-dimensional Maxillofacial Skeletal Characteristics in Skeletal Class Ⅲ Adults with Facial Asymmetry,R783.5
  8. Validity and Reliability of the 3D Digital Models of Full Dentition Got by Spiral CT and Cone Beam CT,R816.98
  9. Study of Na2MoO4 Fire Retardant and Its Effect on Smoke Suppression of Fire Retardant MDF,TS653.6
  10. Research on the Positive Solutions of BVP and Anti-periodic Solutions for Functional Differential Equations,O175.8
  11. Alveolar Bone Deficiency Assessments of Pre-implant Sites Using Cone Beam CT,R816.98
  12. Ice Loads on Conical Structures and the Exploration of the Numerical Simulation Method,U652
  13. Study on Jacked-in Pipe Pile Resistance in Songhua River Floodplain Areas,TU473.1
  14. Utilization of Cone Calorimeter for the Study of the Properties and the Flame Retardant Mechanism of Flame Retardant Polypropylene,TQ325.14
  15. Existence of Positive Solutions of Dynamic Equations on for Boundary Problems and Periodic Boundary Problems on Time Scales,O175.8
  16. Research on Multi Time Scale Reserve Dispatch with Intermittent Power,TM73
  17. The Convergence Behavior of A Non-interior Continuation Algorithm for the Monotone Symmetric Cone Complementarity Problem,O241.6
  18. The Existence of Positive Solution about Impulsive Boundary Value Problems in Banach Space,O175.8
  19. On the Semilinear Elliptic Problems Involving the Critical Sobolev Exponents,O175.25
  20. Existence of Solutions of Boudary Value Problem for Nonlinear Fractional Functional Differential Equations,O175.8
  21. Cone of influence extracranial drainage treatment of hypertensive cerebral hemorrhage process analysis of prognostic factors,R651.1

CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations > Boundary Value Problems
© 2012 www.DissertationTopic.Net  Mobile