Geodesic
Sign-definiteness of solutions and stability of linear differential equations with variable distributed delay
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2008), pp. 73-77

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We study one class of linear differential equations with varying distributed delay. We obtain an effective (in terms of parameters of the initial problem) criterion for the positiveness of the Cauchy function of this class of equations. On the base of this result we establish effective criteria for the exponential stability of equations under consideration.
Keywords: equations with delay, exponential stability, Cauchy function.
Mots-clés : nonoscillation 
@article{IVM_2008_8_a7,
     author = {V. V. Malygina and T. L. Sabatulina},
     title = {Sign-definiteness of solutions and stability of linear differential equations with variable distributed delay},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {73--77},
     publisher = {mathdoc},
     number = {8},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2008_8_a7/}
}
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V. V. Malygina; T. L. Sabatulina. Sign-definiteness of solutions and stability of linear differential equations with variable distributed delay. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2008), pp. 73-77. http://geodesic.mathdoc.fr/item/IVM_2008_8_a7/