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Existence of Nondecreasing Positive Solutions for a System of Singular Integral Equations

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Abstract

In this paper, a monotonicity property of the superposition operator in higher dimensions will be proved. Then by using the concept of measure of noncompactness, we will establish the existence of nondecreasing positive solutions for a system of singular integral equations. Furthermore, the results will be used to investigate the solvability of the system of k th-order initial value problems.

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Authors and Affiliations

  1. School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, P.O. Box 1684613114, Iran

    Asadollah Aghajani & Yaghoub Jalilian

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  1. Asadollah Aghajani
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  2. Yaghoub Jalilian
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Correspondence to Asadollah Aghajani.

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Aghajani, A., Jalilian, Y. Existence of Nondecreasing Positive Solutions for a System of Singular Integral Equations. Mediterr. J. Math. 8, 563–576 (2011). https://doi.org/10.1007/s00009-010-0095-3

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  • DOI: https://doi.org/10.1007/s00009-010-0095-3

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