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In this paper, we consider an impulsive nonlinear second order
ordinary differential
equation with nonlinear three-point boundary conditions and
develop a monotone iteration scheme by relaxing the convexity
assumption on the function involved in the differential equation
and the concavity assumption on nonlinearities in the boundary
conditions. In fact, we obtain monotone sequences of iterates
(approximate solutions) converging quadratically to the unique
solution of the impulsive three-point boundary value problem.
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참고문헌 (22)
참고문헌 신청
[학술지
A. Balluchi / 2000 / Automotive engine control and hybrid systems: Challenges and opportunities / Proceedings of the IEEE : 888 ~ 912
A. Balluchi / 2001 / Hybrid feedback control for path tracking by a bounded-curvature vehicle, In: Hybrid Systems: Computation and Control, volume 2034, Lecture Notes in Computer Scienc
A. R. Abd-Ellateef Kamar / 2005 / Generalized quasilinearization for systems of nonlinear differential equations with periodic boundary conditions / Dynamics of Continuous Di
A. d’Onofrio / 2005 / On pulse vaccination strategy in the SIR epidemic model with vertical transmission / Applied Mathematics Letters 18 (7) : 729 ~ 732
A. Balluchi / 2000 / Automotive engine control and hybrid systems: Challenges and opportunities / Proceedings of the IEEE : 888 ~ 912
A. Balluchi / 2001 / Hybrid feedback control for path tracking by a bounded-curvature vehicle, In: Hybrid Systems: Computation and Control, volume 2034, Lecture Notes in Computer Scienc
A. R. Abd-Ellateef Kamar / 2005 / Generalized quasilinearization for systems of nonlinear differential equations with periodic boundary conditions / Dynamics of Continuous Di
A. d’Onofrio / 2005 / On pulse vaccination strategy in the SIR epidemic model with vertical transmission / Applied Mathematics Letters 18 (7) : 729 ~ 732
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