ON $L^2_W$ QUASI-DERIVATIVES FOR SOLUTIONS OF PERTURBED GENERAL QUASI-DIFFERENTIAL EQUATIONS

Authors

  • SOBHY EL-SAYED IBRAHIM Benha University, Faculty of Science, Department of Mathematics, Benha 13518, Egypt.

DOI:

https://doi.org/10.5556/j.tkjm.29.1998.4264

Keywords:

Quasi-differential operators, regular, singular, bounded and square integrable solutions

Abstract

This paper is concerned with square integrable quasi-derivatives for any solution of a general quasi-differential equations of nth order with complex coefficients $M[y] -\lambda wy = w f(t, y^{[0]}, \cdots ,y^{[n- 1]})$, $t \in [a,b)$ provided that all $r$th quasi-derivatives of solutions of $M[y] -\lambda wy = 0$ and all solutions of its formal adjoint $M^+[z] -\lambda wz = 0$ are in $L _W^2(a, b)$ and under suitable conditions on the function $f$.

References

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Published

1998-09-01

How to Cite

IBRAHIM, S. E.-S. (1998). ON $L^2_W$ QUASI-DERIVATIVES FOR SOLUTIONS OF PERTURBED GENERAL QUASI-DIFFERENTIAL EQUATIONS. Tamkang Journal of Mathematics, 29(3), 175-185. https://doi.org/10.5556/j.tkjm.29.1998.4264

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