Dissertation > Excellent graduate degree dissertation topics show

The Existence of Positive Solutions for Boundary Value Problems for Two Calss of Differential Equation Systems with the Frist Order Derivative

Author: XuYanLing
Tutor: GuoYanPing
School: Hebei University of Science and Technology
Course: Applied Mathematics
Keywords: Ordinary differential equations Boundary value problem Fixed point theorem Conical Quasisymmetric solution Positive solution p Laplacian
CLC: O175.8
Type: Master's thesis
Year: 2012
Downloads: 10
Quote: 0
Read: Download Dissertation


Differential equations , in the development of science and technology and production practices the has profound practical background , is an integral part of modern science and technology to solve the problem of the tools . In the field of economics , biology , astronomy, physics and other sciences , differential equations have important practical value and significance . Differential equations proposed for the solution of the above problems , has played a very significant results , and provide a corresponding mathematical models in the development process of these practical problems , differential equations , and led to a new area . The differential equations major is to study the existence of solutions of boundary value problems . First to understand the of Differential Equations existence reconciliation number , followed by seeking a numerical solution of the equations . In recent years , nonlinear functional analysis research a lot of the actual value of the mathematical problem and successfully applied in the Boundary Value Problems of studying . This article is a new fixed point theorem and degree theory to discuss the existence of positive solution containing the first derivative of the equations under different boundary conditions . First , to prove the second with p Laplace operator proposed the existence of positive solutions of linear differential equations with multi-point boundary value problem , the use of a new fixed point theorem proving at least one positive solution of the existence of . Second , consider the existence of a class of second-order differential equations with the first derivative of m-point boundary value , once again , through the utilization of theoretical construct containing the first derivative , second-order ordinary differential fixed point theorem proving equations the existence of multi-point boundary value problem Quasisymmetric solution . Finally , by constructing Quasisymmetric operator converts solving fixed point problems , the use of on the structure of the fixed point theorem BVPs quasi - symmetric solution existence conditions .

Related Dissertations

  1. Flow Field Numerical Simulation and Performance Analysis for the Conical Hydrostatic Bearing,TH133.36
  2. Periodic Solutions for Second Order Nonlinear Equations with Singular Vector φ-Laplacian-Like Operators,O175
  3. Positive Solutions of Second Order Boundary Value Problems for Singular Differential Equations and Differential Systems,O175.8
  4. Monotone Iterative Method of Positive Solution to Boundary Value Problem of Nonlinear Differential Equation,O175.8
  5. Study on a Class of Sturm-Liouville Boudary Value Problems,O175.8
  6. The General Methods of Studying the Spectra of Graph,O157.5
  7. The Numerical Solution of BVPs for a Class of Functional Differential Equations,O175.8
  8. Non- local Higher Order Differential Equations Boundary Value Existence,O175.8
  9. About ODE (k, nk) conjugate boundary value problems,O175.8
  10. Research of Medical Image Processing Based on Wavelet Analysis,TP391.41
  11. Existence of Solutions of Boudary Value Problem for Nonlinear Fractional Functional Differential Equations,O175.8
  12. Asymptotic Behavior for Some Kinds of Functional Differential Equations,O175.12
  13. Bring Lower Bounds for Equilibrium Problems Existence of Solutions Xing , stability analysis and Its Algorithm,O177
  14. Eigenvalue problem of a compact Riemannian manifold research,O186.12
  15. Second-order pulse homoclinic solution of differential equations and Boundary Value Problems,O175.8
  16. Differential Research and Improvement for Singularly Perturbated Boundary Value Problems under Nagumo Condition,O175.8
  17. The Singularly Perturbed Problems of Some Classes of Nonlinear Differential Equations,O175.8
  18. On the Semilinear Elliptic Problems Involving the Critical Sobolev Exponents,O175.25
  19. Study of Properties and Applications of Fractional Integral Operator,O177.6
  20. Existence of Positive Solutions of Dynamic Equations on for Boundary Problems and Periodic Boundary Problems on Time Scales,O175.8

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