Geodesic
Linear Volterra integro-differential second-order equations unresolved with respect to the highest derivative
Eurasian mathematical journal, Tome 4 (2013) no. 4, pp. 64-87

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We consider the Cauchy problem for Volterra integro-differential secondorder linear equations which describe an evolution of dynamical systems with infinite numbers of degrees of freedom taking into account relaxation effects. Existence theorems for strong solutions for three classes of complete integro-differential second-order equations are obtained. 
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     author = {N. D. Kopachevsky and E. V. Syomkina},
     title = {Linear {Volterra} integro-differential second-order equations unresolved with respect to the highest derivative},
     journal = {Eurasian mathematical journal},
     pages = {64--87},
     publisher = {mathdoc},
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     url = {http://geodesic.mathdoc.fr/item/EMJ_2013_4_4_a4/}
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N. D. Kopachevsky; E. V. Syomkina. Linear Volterra integro-differential second-order equations unresolved with respect to the highest derivative. Eurasian mathematical journal, Tome 4 (2013) no. 4, pp. 64-87. http://geodesic.mathdoc.fr/item/EMJ_2013_4_4_a4/