In this paper,the oscillation criteria for the solutions of the nonlinear differential equations of neutral type of the forms:[x(t)+p(t)x(σ(t))]″+q(t)f(x(τ(t)))g(x′(t))=0and[x(t)+p(t)x(σ(t))]″+q(t)f(x(t),x(τ(t)...In this paper,the oscillation criteria for the solutions of the nonlinear differential equations of neutral type of the forms:[x(t)+p(t)x(σ(t))]″+q(t)f(x(τ(t)))g(x′(t))=0and[x(t)+p(t)x(σ(t))]″+q(t)f(x(t),x(τ(t)))g(x′(t))=0are obtained.展开更多
It is studied systematically for the level strcture of the kernal and hull on continuous-lattice-calued function.In terms of these results,the level characterixations of induced space are odtained.
For a strip transmission line shielded by rectangular walls, the Green抯 function is helpful to construct the variation expression of the electrostatic energy. Thomson theorem is employed to determine the charge distr...For a strip transmission line shielded by rectangular walls, the Green抯 function is helpful to construct the variation expression of the electrostatic energy. Thomson theorem is employed to determine the charge distribution on the strip. The electrostatic force on each side of the rectangular shield wall is achieved by using the principle of virtual work. The result is easy to be obtained by computerized calculation.展开更多
A kind of extended first order impulses nonlinear FDE with forcing term is studied in this paper. Several criteria on the oscillations of solutions are given. We find some suitable impulse functions such that all the ...A kind of extended first order impulses nonlinear FDE with forcing term is studied in this paper. Several criteria on the oscillations of solutions are given. We find some suitable impulse functions such that all the solutions of the equation are oscillatory under the impulse control.展开更多
A new and convenient method is used to study the existence of periodic solutions to neutral functional differential equations with infinite delay. A new criterion for the existence of periodic solutions is obtained in...A new and convenient method is used to study the existence of periodic solutions to neutral functional differential equations with infinite delay. A new criterion for the existence of periodic solutions is obtained in this paper.展开更多
The existence of periodic solution to nonlinear integral equations with infinite delay is studied in this paper. We prove that the g- uniform bounded and g- uniform ultimate bounded solutions implies the existence of ...The existence of periodic solution to nonlinear integral equations with infinite delay is studied in this paper. We prove that the g- uniform bounded and g- uniform ultimate bounded solutions implies the existence of periodic solutions using Schauder-Tychonov’s fixed point theorem in the phase space (Cg,|·|g).展开更多
In this paper, the existence of periodic solution to nonlinear integro-differential equations with infinite delay is studied in the phase space (Cg,|·|g). We prove that the g-uniformly ultimately bounded solution...In this paper, the existence of periodic solution to nonlinear integro-differential equations with infinite delay is studied in the phase space (Cg,|·|g). We prove that the g-uniformly ultimately bounded solutions implies the existence of periodic solutions using Horn’s fixed point theorem. Some known results are generalized, including the famous Yoshizawa’s theorem.展开更多
In this paper, we first establish the equivalence of the oscillation of the difference equations with several delays of the form:and the second-order difference equations without delay of the form:where {pj(n)} is a s...In this paper, we first establish the equivalence of the oscillation of the difference equations with several delays of the form:and the second-order difference equations without delay of the form:where {pj(n)} is a sequence of nonnegative real numbers and {ki}i=1m is a set of positive integers. Then we get some 'sharp' conditions for oscillation and non-oscillation of the first equation.展开更多
文摘In this paper,the oscillation criteria for the solutions of the nonlinear differential equations of neutral type of the forms:[x(t)+p(t)x(σ(t))]″+q(t)f(x(τ(t)))g(x′(t))=0and[x(t)+p(t)x(σ(t))]″+q(t)f(x(t),x(τ(t)))g(x′(t))=0are obtained.
文摘It is studied systematically for the level strcture of the kernal and hull on continuous-lattice-calued function.In terms of these results,the level characterixations of induced space are odtained.
基金Funded by the Key Research Foundation of Sichuan Education Commission(No. 2002A046 )
文摘For a strip transmission line shielded by rectangular walls, the Green抯 function is helpful to construct the variation expression of the electrostatic energy. Thomson theorem is employed to determine the charge distribution on the strip. The electrostatic force on each side of the rectangular shield wall is achieved by using the principle of virtual work. The result is easy to be obtained by computerized calculation.
基金This work is supported by the Science Foundation of Educational Department of Guangdong Province(Z03052).
文摘A kind of extended first order impulses nonlinear FDE with forcing term is studied in this paper. Several criteria on the oscillations of solutions are given. We find some suitable impulse functions such that all the solutions of the equation are oscillatory under the impulse control.
基金supported by the Foundation of Educational Department of Hebei Province(Z2011333)
文摘A new and convenient method is used to study the existence of periodic solutions to neutral functional differential equations with infinite delay. A new criterion for the existence of periodic solutions is obtained in this paper.
基金supported by the National Natural Sciences Foundations of China (10771107)
文摘The existence of periodic solution to nonlinear integral equations with infinite delay is studied in this paper. We prove that the g- uniform bounded and g- uniform ultimate bounded solutions implies the existence of periodic solutions using Schauder-Tychonov’s fixed point theorem in the phase space (Cg,|·|g).
基金supported by National Natural Sciences Foundations of China (10771107)
文摘In this paper, the existence of periodic solution to nonlinear integro-differential equations with infinite delay is studied in the phase space (Cg,|·|g). We prove that the g-uniformly ultimately bounded solutions implies the existence of periodic solutions using Horn’s fixed point theorem. Some known results are generalized, including the famous Yoshizawa’s theorem.
基金Research supported Dy Distinguished Expert Science Foundation of Naval Aeronautical Engineering Institute
文摘In this paper, we first establish the equivalence of the oscillation of the difference equations with several delays of the form:and the second-order difference equations without delay of the form:where {pj(n)} is a sequence of nonnegative real numbers and {ki}i=1m is a set of positive integers. Then we get some 'sharp' conditions for oscillation and non-oscillation of the first equation.
