S. Cheng

Publications250
h-index24
Citations1,968
Highly Influential Citations87
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Existence of Positive Periodic Solutions for Non-Autonomous Functional Differential Equations
We establish the existence of positive periodic solutions for a rstorder dierential equation with periodic delay. For this purpose, we use the xed point theorem proved by Krasnoselskii.
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A PRIORI BOUNDS FOR PERIODIC SOLUTIONS OF A DELAY RAYLEIGH EQUATION
Abstract A priori bounds are established for periodic solutions of a Rayleigh equation with delay. By means of these bounds, an existence theorem for periodic solutions can be obtained by means of… Expand
  • 81
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EXPLICIT EIGENVALUES AND INVERSES OF TRIDIAGONAL TOEPLITZ MATRICES WITH FOUR PERTURBED CORNERS
Abstract By means of a symbolic calculus for finding solutions of difference equations, we derive explicit eigenvalues, eigenvectors and inverses for tridiagonal Toeplitz matrices with four perturbed… Expand
  • 53
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Existence of solutions for a nonlinear system with a parameter
Abstract In this paper, the existence of solutions for a system of nonlinear equations is considered. 2 n nonzero real solutions are obtained by using the critical point theory. Additionally, the… Expand
  • 47
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An oscillation criterion for nonhomogeneous half-linear differential equations
  • W. Li, S. Cheng
  • Mathematics, Computer Science
  • Appl. Math. Lett.
  • 1 April 2002
TLDR
By means of a classical inequality and an averaging technique, we obtain an oscillation criterion for nonhomogeneous half-linear differential equations. Expand
  • 37
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An existence theorem for a nonlinear difference equation
where p > 1 and {s,)‘p is a real sequence. We establish conditions under which (1.1) has a positive nondecreasing solution. Here a solution of (1.1) is a real sequence y = (_Y~); which satisfies… Expand
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Three positive solutions for second-order Neumann boundary value problems
Abstract In this paper, existence criteria for three positive solutions to the second-order Neumann boundary value problems − u ″ + M u = f ( t , u ) , u ′ ( 0 ) = u ′ ( 1 ) = 0 , , and u ″ + M u = f… Expand
  • 33
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"Virus" in several discrete oscillation theorems
TLDR
A common cause of erroneous statements or proofs is found in a significant number of oscillation theorems for difference equations. Expand
  • 19
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Global exponential stability of delayed cellular neural networks with impulses
TLDR
A class of delayed cellular neural networks with impulses (DCNN) is investigated in this paper. Expand
  • 79
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A stability criterion for a neutral difference equation with delay
Abstract A stability criterion for a neutral difference equation with delay is established which extends and improves a result of Ladas et al. [1]. Our derivation is based on Lyapunov's direct method… Expand
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