# Wei Gao Ge

Beijing Institute Of Technology, Peping, Beijing, China

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## Publications (11)2.85 Total impact

• ##### Article: Existence of Positive Solutions to Fourth Order Quasilinear Boundary Value Problems
Zhan Bing Bai · Wei Gao Ge
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ABSTRACT: In this paper, we generalize the fixed point theorem of cone expansion and compression of norm type to the theorem of functional type. As an application, the existence of positive solutions for some fourth–order beam equation boundary value problems is obtained. The emphasis is put on that the nonlinear term is dependent on all lower order derivatives.
No preview · Article · Jan 2006 · Acta Mathematica Sinica
• ##### Article: A Priori Bounds for Periodic Solutions of a Kind of Second Order Neutral Functional Differential Equation with Multiple Deviating Arguments
Shi Ping Lu · Wei Gao Ge
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ABSTRACT: The main aim of this paper is to use the continuation theorem of coincidence degree theory for studying the existence of periodic solutions to a kind of neutral functional differential equation as follows: $${\left( {x{\left( t \right)} - {\sum\limits_{i = 1}^n {c_{i} x{\left( {t - r_{i} } \right)}} }} \right)}^{{\prime \prime }} = f{\left( {x{\left( t \right)}} \right)}{x}\ifmmode{'}\else'\fi{\left( t \right)} + g{\left( {x{\left( {t - \tau } \right)}} \right)} + p{\left( t \right)}.$$ In order to do so, we analyze the structure of the linear difference operator A : C 2π →C 2π, $${\left[ {Ax} \right]}{\left( t \right)} = x{\left( t \right)} - {\sum\nolimits_{i = 1}^n {c_{i} x{\left( {t - r_{i} } \right)}} }$$ to determine some fundamental properties first, which we are going to use throughout this paper. Meanwhile, we also prove some new inequalities which are useful for estimating a priori bounds of periodic solutions.
No preview · Article · Dec 2005 · Acta Mathematica Sinica
• ##### Article: Relative Superlinearity Implies Infinitely Many Solutions toSturm–Liouville BVPs with Laplacian Type Operators
Wei Gao Ge · Wei Ping Sun
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ABSTRACT: By the use of continuation theorems and the duality principle it’s proved that for both homogeneous and nonhomogeneous Sturm–Liouville boundary value problems with Laplacian type operators, relative superlinearity implies the existence of infinitely many solutions under a few weakly added conditions.
No preview · Article · Oct 2005 · Acta Mathematica Sinica
• ##### Article: On the Existence of Periodic Solutions for a Kind of Second Order Neutral Functional Differential Equation
Shi Ping Lu · Wei Gao Ge
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ABSTRACT: By means of the continuation theorem of coincidence degree theory, some new results on the non–existence, existence and unique existence of periodic solutions for a kind of second order neutral functional differential equation are obtained.
No preview · Article · Jan 2005 · Acta Mathematica Sinica
• ##### Article: On the existence of positive periodic solutions for n-species Lotka-Volterra population model with multiple deviating arguments
Shi Ping Lu · Wei Gao Ge

No preview · Article · Jan 2005
• ##### Article: Periodic solutions for second order p-Laplacian differential equation with a deviating argument
Shi Ping Lu · Wei Gao Ge

No preview · Article · Jan 2005
• ##### Article: On the existence of periodic solutions for a kind of second-order n-dimensional neutral differential systems
Shi Ping Lu · Wei Gao Ge

No preview · Article · Jan 2003
• ##### Article: An upper and lower solution approach to singular second-order ordinary differential equations with nonlinear boundary conditions
Yan Ping Guo · Wei Gao Ge · Yu Jun Zhu

No preview · Article · Jan 2003
• ##### Article: The Monotone Iterative Technique and Periodic Boundary Value Problem for First Order Impulsive Functional Differential Equations
Zhi Min He · Wei Gao Ge
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ABSTRACT: This paper uses the method of upper and lower solutions and the monotone iterative technique to investigate the existence of maximal and minimal solutions of the periodic boundary value problem for first order impulsive functional differential equations.
No preview · Article · Jan 2002 · Acta Mathematica Sinica
• ##### Article: Absolute stability of general Lurie direct control systems with multiple nonlinearities
Zuo Xin Gan · Jing Qing Han · Wei Gao Ge
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ABSTRACT: In order to investigate the problem of absolute stability for general Lurie indirect systems with multiple nonlinearities, this paper introduces the concept of absolute stability about the variable σ. By study of absolute stability about the variable σ, necessary and sufficient conditions of absolute stability for Lurie systems are obtained, and some sufficient conditions are acquired.
No preview · Article · Jan 2002
• ##### Article: Absolute Stability of General Lurie Control Systems with Multi-Nonlinear Feedback Terms
Zuo Xin Gan · Wei Gao Ge
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ABSTRACT: In this paper, the problem of absolute stability for general Lurie control systems with multi-nonlinear feedback terms is investigated. From the Lyapunov function approach, new necessary and sufficient conditions and some practical sufficient conditions of absolute stability are derived, which improve the absolute stability for the set. A numerical example illustrates the effectiveness of the proposed results.
No preview · Article · Oct 2001 · Acta Mathematica Sinica

#### Publication Stats

 41 Citations 2.85 Total Impact Points

#### Institutions

• ###### Beijing Institute Of Technology
• School of Mathematics
Peping, Beijing, China