Existence and approximation of solutions of forced duffing type integro-differential equations with three-point nonlinear boundary conditions |
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Authors: | Bashir Ahmad S. Sivasundaram |
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Affiliation: | 1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia;2. Department of Mathematics, Embry- Riddle Aeronautical University, Daytona Beach, FL 32114, USA |
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Abstract: | A generalized quasilinearization technique is developed to obtain an analytic approximation of the solutions of the forced Duffing type integro-differential equation with nonlinear three-point boundary conditions. Monotone sequences of approximate solutions converging uniformly and quadratically to a unique solution of the problem are presented. |
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