Bivariational Methods for Hammerstein Integral Equations |
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Authors: | ROBINSON P D; YUEN P K |
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Institution: |
School of Mathematics, Bradford University Bradford BD7 1DP and College of Science Sultan Qabos University Sultanate of Oman
School of Mathematics, Bradford University Bradford BD7 1DP
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Abstract: | Bivariational methods are presented for nonlinear integral equationsof Ham-merstein type = Kf(). With appropriate conditions onK and f, various upper and lower bounding functionals are derivedfor inner products and associated with the solution . Inthe latter case, suitable choices for g lead to point wise boundson both and its derivative. The methods are tested on a pendulumequation, and encouraging accuracy is obtained using simpletrial vectors. |
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