On L_w^2 -quasi-derivatives for solutions of perturbed general quasi-differential equations |
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Authors: | Sobhy El-Sayed Ibrahim |
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Affiliation: | (1) Faculty of Science Department of Mathematics, Benha University, Benha, 13518, Egypt |
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Abstract: | ![]() This paper is concerned with square integrable quasi-derivatives for any solution of a general quasi-differential equation of nth order with complex coefficients M[y] – wy = wf(t, y[0],... , y[n–1]), t [a, b) provided that all rth quasi-derivatives of solutions of M[y] – wy = 0 and all solutions of its normal adjoint are in and under suitable conditions on the function f. |
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Keywords: | quasi-differential operators regular singular bounded and square integrable solutions |
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