Monotone iterative and quasilinearization method for a nonlinear integral impulsive differential equation
Li Yan, Zihan Rui, Bing Hu
Abstract
<p>In this paper, we discuss the existence and approximation of solution sequences for a class of nonlinear ordinary differential equations with an impulsive integral condition. Our major methods were the monotone iterative and quasilinearization techniques. Interestingly, many new results could be obtained, which were different from the functional differential equation.</p>
Topics & Concepts
Monotone polygonMathematicsNonlinear systemIntegral equationMathematical analysisDifferential equationIterative methodApplied mathematicsMathematical optimizationPhysicsGeometryQuantum mechanicsNonlinear Differential Equations AnalysisFractional Differential Equations SolutionsDifferential Equations and Numerical Methods