Existence of a Mild Solution to a Second-Order Impulsive Functional-Differential Equation with a Nonlocal Condition

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dc.contributor.authorZlatinka, Covacheva
dc.contributor.authorValéry, Covachev
dc.contributor.authorAkca, Haydar
dc.date.accessioned2021-12-29T13:53:13Z
dc.date.accessioned2023-08-19T09:16:10Z
dc.date.available2021-12-29T13:53:13Z
dc.date.available2023-08-19T09:16:10Z
dc.date.issued2020-04
dc.descriptionAkça, H., Covachev, V., & Covacheva, Z. (2015). Existence of a Mild Solution to a Second-Order Impulsive Functional-Differential Equation with a Nonlocal Condition. Pliska Studia Mathematica Bulgarica, 25(1), 57p-66p.en_US
dc.description.abstractAn abstract second-order semilinear functional-differential equation such that the linear part of its right-hand side is given by the infinitesimal generator of a strongly continuous cosine family of bounded linear operators, and provided with impulse and nonlocal conditions is studied. Under not too restrictive conditions the existence of a mild solution is proved using Schauder’s fixed point theorem. 2010 Mathematics Subject Classification: 34A37, 34G20.en_US
dc.identifier.citationAkça, H., Covachev, V., & Covacheva, Z. (2015). Existence of a Mild Solution to a Second-Order Impulsive Functional-Differential Equation with a Nonlocal Condition. Pliska Studia Mathematica Bulgarica, 25(1), 57p-66p.
dc.identifier.doihttp://hdl.handle.net/10525/3532
dc.identifier.urihttps://edms.wexl.in/handle/1/2076
dc.language.isoenen_US
dc.publisherInstitute of Mathematics and Informatics at the Bulgarian Academy of Sciencesen_US
dc.subjectExistence of a Mild Solutionen_US
dc.subjectImpulsive Functional-Differentialen_US
dc.subjectNonlocal conditionsen_US
dc.titleExistence of a Mild Solution to a Second-Order Impulsive Functional-Differential Equation with a Nonlocal Conditionen_US
dc.title.alternativeBulDML at Institute of Mathematics and Informatics > IMI > IMI Periodicals > Pliska Studia Mathematica Bulgarica > 2015 Volume 25 >en_US
dc.typeArticleen_US

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Many evolutionary processes in nature are characterized by the fact that at certain instants of time they experience a rapid change of their states. The theory of the impulsive differential equations is one of the attractive branches of differential equations which has extensive realistic mathematical modelling applications in physics, chemistry, engineering, and biological and medical sciences.
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