Search

Your search keyword '"Baoqiang Yan"' showing total 19 results
Start Over Author "Baoqiang Yan" Topic singularity
19 results on '"Baoqiang Yan"'

2. Positive solutions for singular three-point boundary-value problems

Author

Baoqiang Yan, Donal O'Regan, and Ravi P. Agarwal

Subjects
Three-point boundary value problems, singularity, positive solutions, fixed point index, Mathematics, QA1-939
Abstract

Using the theory of fixed point index, this paper discusses the existence of at least one positive solution and the existence of multiple positive solutions for the singular three-point boundary value problem: $$displaylines{ y''(t)+a(t)f(t,y(t),y'(t))=0,quad 0

Published
2008

3. Positive solutions for singular three-point boundary-value problems with sign changing nonlinearities depending on $x'$

Author

Yun Chen, Baoqiang Yan, and Lili Zhang

Subjects
Three-point boundary value problem, singularity, positive solutions, fixed point theorem., Mathematics, QA1-939
Abstract

Using a fixed point theorem in cones, this paper shows the existence of positive solutions for the singular three-point boundary-value problem $$displaylines{ x''(t)+a(t)f(t,x(t),x'(t))=0,quad 0

Published
2007

4. A uniqueness result for some Kirchhoff-type equations with negative exponents

Author

Dechen Wang and Baoqiang Yan

Subjects
Pure mathematics, Class (set theory), Kirchhoff type, Applied Mathematics, 010102 general mathematics, MathematicsofComputing_NUMERICALANALYSIS, 01 natural sciences, Domain (mathematical analysis), 010101 applied mathematics, Nonlinear system, Singularity, Bounded function, ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, Uniqueness, 0101 mathematics, Mathematics
Abstract

In this paper, we consider a class of Kirchhoff-type equations with singularity and nonlinearity in a bounded domain. Using the approximation method, a unique positive solution is obtained.

Published
2019

5. The multiplicity of positive solutions for a class of nonlocal elliptic problem

Author

Baoqiang Yan and Dechen Wang

Subjects
010101 applied mathematics, Pure mathematics, Singularity, Applied Mathematics, 010102 general mathematics, Mathematical analysis, Fixed-point index, Multiplicity (mathematics), 0101 mathematics, Fixed point, 01 natural sciences, Analysis, Mathematics
Abstract

In this paper, using the theory of fixed point index, we prove some results on the multiplicity of positive solutions for a class of nonlocal elliptic problem.

Published
2016

6. Existence and multiplicity of positive solutions for p-Kirchhoff type problem with singularity

Author

Dechen Wang and Baoqiang Yan

Subjects
Essential singularity, Algebra and Number Theory, Singularity theory, 010102 general mathematics, Mathematical analysis, Multiplicity (mathematics), 01 natural sciences, 010101 applied mathematics, Variational method, Singularity, Ordinary differential equation, Bounded function, 0101 mathematics, Nehari manifold, Analysis, Mathematics
Abstract

In this paper, we consider a class of p-Kirchhoff type problems with a singularity in a bounded domain in $R^{N}$ . By using the variational method, the existence and multiplicity of positive solutions are obtained.

Published
2017

7. Positive Solutions for Second Order Singular Boundary Value Problems with Derivative Dependence on Infinite Intervals

Author

Ravi P. Agarwal, Baoqiang Yan, and Donal O'Regan

Subjects
Singular boundary value problems, Combinatorics, Singularity, Applied Mathematics, Mathematical analysis, Fixed-point index, Order (ring theory), Derivative, Boundary value problem, Mathematics
Abstract

The existence of at least one positive solution and the existence of multiple positive solutions are established for the singular second-order boundary value problem $$\left\{\begin{array}{l}{\frac{1}{p(t)}(p(t)x'(t))'}+\Phi(t)f(t,x,px')=0,\quad 0

Published
2008

8. Unbounded Positive Solutions for Second Order Singular Boundary Value Problems with Derivative Dependence on Infinite Intervals

Author

Donal O'Regan, Ravi P. Agarwal, and Baoqiang Yan

Subjects
Algebra and Number Theory, boundary value problems, Mathematical analysis, existence, Fixed-point index, Mixed boundary condition, half-line, Singular boundary method, Boundary knot method, singularity, Robin boundary condition, Singularity, banach-spaces, Singular solution, Geometry and Topology, Boundary value problem, fixed point index, impulsive integrodifferential equations, Analysis, Mathematics
Abstract

The existence of at least one unbounded positive solution and the existence of multiple unbounded positive solutions are established for the singular second-order boundary value problem p(t)(-1)(p(t)x'(t))' + Phi(t)f(t,x,px') = 0, 0 < t < +infinity, x(0) = 0, lim(t ->+infinity) p(t)x'(t) = 0, using the fixed point index, where f may be singular at px' = 0.

Published
2008

9. Multiple positive solutions for singular problems with mixed boundary data and derivative dependence

Author

Baoqiang Yan, Ravi P. Agarwal, and Donal O'Regan

Subjects
Combinatorics, Singular problems, Singularity, Modelling and Simulation, Modeling and Simulation, Boundary data, Mathematical analysis, Second order equation, Fixed-point index, Boundary value problem, Derivative, Computer Science Applications, Mathematics
Abstract

The existence of at least two positive solutions is presented for the singular second-order boundary value problems {1p(t)(p(t)x^'(t))^'+@F(t)f(t,x(t),p(t)x^'(t))=0,00p(t)x^'(t)=0,x(1)=0 using the fixed point index, where @!"0^11p(r)dr=+~ and f may be singular at x=0 and px^'=0. The solutions we construct may be unbounded.

Published
2007

10. Positive solutions for singular boundary value problems with sign changing nonlinearities depending on x′ via index theory

Author

Baoqiang Yan, Donal O'Regan, and Ravi P. Agarwal

Subjects
Singularity, Index (economics), Singular solution, Applied Mathematics, Mathematical analysis, Fixed-point index, Boundary value problem, Mixed boundary condition, Sign changing, Analysis, Mathematics, Sign (mathematics)
Abstract

Using the theory of fixed point index, this article discusses the existence of positive solutions for singular second-order boundary value problems, where f may be singular at x = 0 and x′=0, and f may change sign.

Published
2007

11. Nonlinear Boundary Value Problems on Semi-Infinite Intervals using Weighted Spaces: An Upper and Lower Solution Approach

Author

Baoqiang Yan, Ravi P. Agarwal, and Donal O'Regan

Subjects
Semi-infinite, General Mathematics, Mathematical analysis, Operator theory, Potential theory, Theoretical Computer Science, symbols.namesake, Singularity, Monotone polygon, Fourier analysis, symbols, Order (group theory), Boundary value problem, Analysis, Mathematics
Abstract

This paper presents a lower and upper solution approach for singular second order boundary value problems on the half line and establishes the existence of positive, unbounded and monotone solutions.

Published
2006

12. Multiple solutions of singular boundary value problems for differential systems

Author

Yansheng Liu and Baoqiang Yan

Subjects
Singular boundary value problem, Differential equation, Applied Mathematics, Mathematical analysis, Differential systems, MathematicsofComputing_NUMERICALANALYSIS, Fixed-point index, Monotonic function, Singular boundary method, Positive solution, Singularity, Cone (topology), Singular solution, ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, Boundary value problem, Cone, Analysis, Mathematics
Abstract

By constructing a special cone and using fixed point index theory in cone, this paper investigates the existence of multiple solutions of singular boundary value problems for differential systems.

Published
2003

13. Fixed-point theorems for nonlinear operators with singular perturbations and applications.

Author

Baoqiang Yan, O'Regan, Donal, and Agarwal, Ravi P.

Subjects
*FIXED point theory, *NONLINEAR operators, *BOUNDARY value problems, *SINGULAR perturbations, *EXISTENCE theorems
Abstract

In this paper, using fixed-point index theory and approximation techniques, we consider the existence and multiplicity of fixed points of some nonlinear operators with singular perturbation. As an application we consider the existence and multiplicity of positive solutions of singular systems of multi-point boundary value problems, which improve the results in the literature. [ABSTRACT FROM AUTHOR]

Published
2014
Full Text
View/download PDF

14. Positive Solutions for Singular m-Point Boundary Value Problems with Sign Changing Nonlinearities Depending on x′.

Author

Ya Ma and Baoqiang Yan

Subjects
*INITIAL value problems, *COMPLEX variables, *FIXED point theory, *NONLINEAR operators, *MATHEMATICAL analysis
Abstract

Using the theory of fixed point theorem in cone, this paper presents the existence of positive solutions for the singular m-point boundary value problem {x"(t) + a(t)f(t,x(t), x'(t)) = 0, 0 < t < 1, x'(0) = 0, x(1) = ∑i=1m-2 αix(xi;i), where 0 < ξ1 < ξ2 < ... < ξm-2 < 1, αi ∈ [0, 1), i = 2, ..., m - 2, with 0 < ∑i=1m-2 αi < 1 and f may change sign and may be singular at x = 0 and x' = 0. [ABSTRACT FROM AUTHOR]

Published
2009
Full Text
View/download PDF

15. MULTIPLE POSITIVE SOLUTIONS FOR SINGULAR m-POINT BOUNDARY-VALUE PROBLEMS WITH NONLINEARITIES DEPENDING ON THE DERIVATIVE.

Author

YA MA and BAOQIANG YAN

Subjects
*NUMERICAL solutions to boundary value problems, *NONLINEAR differential equations, *MATRIX derivatives, *FIXED point theory, *DIFFERENTIAL equations
Abstract

nUsing the fixed point theorem in cones, this paper shows the existence of multiple positive solutions for the singular m-point boundary-value problem x"(t)+a(t)f(t,x(t), x' (t)) = 0, 0 ∑i=1m-2ai < 1 and f maybe singular at x = 0 and x' = 0. [ABSTRACT FROM AUTHOR]

Published
2008

16. POSITIVE SOLUTIONS FOR SINGULAR THREE-POINT BOUNDARY-VALUE PROBLEMS WITH SIGN CHANGING NONLINEARITIES DEPENDING ON x′.

Author

Yun Chen, Baoqiang Yan, and Zhang, Lili

Subjects
*BOUNDARY value problems, *DIFFERENTIAL equations, *FIXED point theory, *NONLINEAR operators, *NONLINEAR theories
Abstract

Using a fixed point theorem in cones, this paper shows the existence of positive solutions for the singular three-point boundary-value problem x″(t) + a(t)f(t, x(t), x′(t)) = 0, 0 < t < 1, x′(0) = 0, x(1) = αx(η), where 0 < &alpah; < 1, 0 < η < 1, and f may change sign and may be singular at x = 0 and x′ = 0. [ABSTRACT FROM AUTHOR]

Published
2007

17. Positive solutions for singular boundary value problems with sign changing nonlinearities depending on x' via index theory.

Author

Agarwal, Ravi P., O'Regan, Donal, and Baoqiang Yan

Subjects
NUMERICAL solutions to boundary value problems, INDEX theory (Mathematics), NONLINEAR theories, INDEX theorems, BOUNDARY value problems
Abstract

Using the theory of fixed point index, this article discusses the existence of positive solutions for singular second-order boundary value problems, where f may be singular at x = 0 and x'=0, and f may change sign. [ABSTRACT FROM AUTHOR]

Published
2007
Full Text
View/download PDF

18. Fixed-point theorems for nonlinear operators with singular perturbations and applications

Author

Ravi P. Agarwal, Baoqiang Yan, and Donal O'Regan

Subjects
Singular perturbation, positive solutions, boundary value problems, Applied Mathematics, Mathematical analysis, Fixed-point index, existence, MathematicsofComputing_NUMERICALANALYSIS, Fixed-point theorem, Multiplicity (mathematics), Fixed point, singularity, Singularity, Singular solution, fixed-point index, boundary-value-problems, Discrete Mathematics and Combinatorics, Boundary value problem, Analysis, Mathematics
Abstract

In this paper, using fixed-point index theory and approximation techniques, we consider the existence and multiplicity of fixed points of some nonlinear operators with singular perturbation. As an application we consider the existence and multiplicity of positive solutions of singular systems of multi-point boundary value problems, which improve the results in the literature.

Full Text
View/download PDF

19. POSITIVE SOLUTIONS FOR SINGULAR THREE-POINT BOUNDARY-VALUE PROBLEMS.

Author

AGARWAL, RAVI P., O'REGAN, DONAL, and BAOQIANG YAN

Subjects
*FIXED point theory, *BOUNDARY value problems, *DIFFERENTIAL equations, *COMPLEX variables, *MATHEMATICS
Abstract

Using the theory of fixed point index, this paper discusses the existence of at least one positive solution and the existence of multiple positive solutions for the singular three-point boundary value problem: y"(t) + a(t)f(t, y(t), y'(t)) = 0, 0 < t < 1, y'(0) = 0, y(1) = αy(η), where 0 < α < 1, 0 < η < 1, and f may be singular at y = 0 and y' = 0. [ABSTRACT FROM AUTHOR]

Published
2008

Catalog

Books, media, physical & digital resources
See catalog results