Scholarly Research Excellence

Li Xiguang

Publications

6

Publications

6
12457
Positive Solutions of Second-order Singular Differential Equations in Banach Space
Authors:
Abstract:

In this paper, by constructing a special set and utilizing fixed point index theory, we study the existence of solution for the boundary value problem of second-order singular differential equations in Banach space, which improved and generalize the result of related paper.

Keywords:
Banach space, cone, fixed point index, singular equation.
5
16821
The Symmetric Solutions for Boundary Value Problems of Second-Order Singular Differential Equation
Authors:
Abstract:

In this paper, by constructing a special operator and using fixed point index theorem of cone, we get the sufficient conditions for symmetric positive solution of a class of nonlinear singular boundary value problems with p-Laplace operator, which improved and generalized the result of related paper.

Keywords:
Banach space, cone, fixed point index, singular differential equation, p-Laplace operator, symmetric solutions.
4
17068
Positive Solutions for Boundary Value Problems of Fourth-Order Nonlinear Singular Differential Equations in Banach Space
Authors:
Abstract:

In this paper, by constructing a special non-empty closed convex set and utilizing M¨onch fixed point theory, we investigate the existence of solution for a class of fourth-order singular differential equation in Banach space, which improved and generalized the result of related paper.

Keywords:
Banach space, cone, fixed point index, singular differential equation.
3
17071
Positive Solutions for Three-Point Boundary Value Problems of Third-Order Nonlinear Singular Differential Equations in Banach Space
Authors:
Abstract:

In this paper, by constructing a special set and utilizing fixed point index theory, we study the existence of solution for singular differential equation in Banach space, which improved and generalize the result of related paper.

Keywords:
Banach space, cone, fixed point index, singular differential equation.
2
17076
The Symmetric Solutions for Three-Point Singular Boundary Value Problems of Differential Equation
Authors:
Abstract:

In this paper, by constructing a special operator and using fixed point index theorem of cone, we get the sufficient conditions for symmetric positive solution of a class of nonlinear singular boundary value problems with p-Laplace operator, which improved and generalized the result of related paper.

Keywords:
Banach space, cone, fixed point index, singular differential equation, p-Laplace operator, symmetric solutions.
1
10009479
Positive Solutions for Systems of Nonlinear Third-Order Differential Equations with p-Laplacian
Authors:
Abstract:
In this paper, by constructing a special set and utilizing fixed point theory, we study the existence and multiplicity of the positive solutions for systems of nonlinear third-order differential equations with p-laplacian, which improve and generalize the result of related paper.
Keywords:
p-Laplacian, cone, fixed point theorem, positive solution.