欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
研究了一类积分上限为无穷大,下限变化的非线性Volterra-Fredholm型四重积分不等式.首先假定不等式中的已知函数应该满足的条件,然后利用分析技巧：比如变量替换、不等式放大、积分微分、反函数等,给出Volterra-Fredholm不等式中未知函数的估计.最后,为了说明所得结果的有效性,举例说明所得结果可以用来估计一类四重积分方程解的模.
英文摘要：
A class of nonlinear Volterra-Fredholm type four iterated integral inequalities with variable lower limit and infinite upper limit is studied.Firstly,the conditions satisfied by known functions in the inequalities are supposed,then estimation for the unknown function in Volterra-Fredholm type integral inequalities is given by analytic techniques,such as change of variable,amplification of inequality,differentiation and integration,inverse function etc.Finally,in order to illustrate the validity of the established results,an application is presented,in which explicit bounds for the solutions of a class of Volterra-Fredholm type four iterated integral equations are deduced.
同期刊论文项目
同项目期刊论文
Some new retarded nonlinear integral inequalities and their applications in differential-integral eq
Generalized Retarded Nonlinear Integral Inequalities Involving Iterated Integrals and an Application
Interval oscillation criteria for nonlinear impulsive delay differential equations with damping term
A Class of Volterra-Fredholm Type Weakly Singular Difference Inequalities with Power Functions and T
Interval oscillation of a general class of second-order nonlinear impulsive differential equations w
Some new retarded nonlinear integral inequalities and their applications in differential–integral eq
A class of nonlinear weakly singularity Wendroff type integral inequality with two variables and app
A Class of Volterra-Fredholm Type Weakly Singularity Difference Inequalities with Power Functions an
Estimation of unknown function of a class of integral inequalities andapplications in fractional int
Some retarded nonlinear integral inequalities and their applications in retarded differential equati
A class of retarded nonlinear integral inequality and its application in nonlinear differential-inte
期刊信息
位置：