Properties of solutions to Volterra-type integro-differential equations. (English) Zbl 1541.45007
Summary: In the present work, it is considered the features of solving classical Volterra-type integro-differential equations. Considered: features of the application of the Laplace transform; questions of stability and oscillations of solutions of integro-differential equations of the Volterra-type.
MSC:
| 45J05 | Integro-ordinary differential equations |
| 45D05 | Volterra integral equations |
| 45M10 | Stability theory for integral equations |
| 45L05 | Theoretical approximation of solutions to integral equations |
Keywords:
integro-differential equations; initial value conditions; successive approximations; first approximations; stability; existence and uniqueness of solutionReferences:
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