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In this article, we prove the existence of a solution to some classes of integral equations of generalized convolution type generated by the Kontorovich-Lebedev (K) transform, the Laplace $(\mathcal{L})$ transform and the Fourier (F) transform in some appropriate function spaces and represent it in a closed form.
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참고문헌 (9)
참고문헌 신청
N. Mikaeilvand / 2014 / Mean value theorem for integrals and its application on numerically solving of Fredholm integral equation of second kind with Toeplitz plus Hankel Kernel / Int. J. Industrial Math 6(4):351~360
N. X. Thao / 2014 / On the Toeplitz plus Hankel integral equation II / Int. Trans. & Spec. Funct 25(1):75~84
N. X. Thao / 2011 / On the Toeplitz plus Hankel integral equations / Int. Trans. & Spec. Funct 22(10):723~737
Nguyen Xuan Thao / 2013 / The Fourier–Laplace Generalized Convolutions and Applications to Integral Equations / Vietnam Journal of Mathematics 41(4):451~464
T. Tuan / 2007 / On the generalized convolution with a weight function for the Fourier cosine and the inverse Kontorovich-Lebedev integral transformations / Nonlinear Funct. Anal. Appl 12(2):325~341
N. X. Thao / 2014 / On the Toeplitz plus Hankel integral equation II / Int. Trans. & Spec. Funct 25(1):75~84
N. X. Thao / 2011 / On the Toeplitz plus Hankel integral equations / Int. Trans. & Spec. Funct 22(10):723~737
Nguyen Xuan Thao / 2013 / The Fourier–Laplace Generalized Convolutions and Applications to Integral Equations / Vietnam Journal of Mathematics 41(4):451~464
T. Tuan / 2007 / On the generalized convolution with a weight function for the Fourier cosine and the inverse Kontorovich-Lebedev integral transformations / Nonlinear Funct. Anal. Appl 12(2):325~341
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