We investigate a class of fourth-order differential system with instantaneous and non-instantaneous impulses. Our technical approach is mainly based on a variant of Clark’s theorem without the global assumptions.
Kang Lijuan, Zhang Xingyong, Liu Cuiling
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ON IMPULSIVE IMPLICIT RIESZ-CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS WITH RETARDATION AND ANTICIPATION IN BANACH SPACES [PDF]
In this paper, we investigate the existence and Ulam stability results for a class of boundary value problems for implicit Riesz-Caputo fractional differential equations with non-instantaneous impulses involving both retarded and advanced arguments.
Benchohra, Mouffak +3 more
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Higher-order impulsive coupled systems with ϕ-Laplacian and generalized jump conditions
This work contains a general theory for coupled systems, with regular and singular semi-linear fully differential equations of higher order, with the possibility of equations of different order and generalized impulsive effects, depending on both ...
Minhós Feliz, Rodrigues Gracino
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Corrigendum to "Topological entropy for impulsive differential equations" [Electron. J. Qual. Theory Differ. Equ. 2020, No. 68, 1-15] [PDF]
The aim of this corrigendum is two-fold: (i) to indicate the incorrect parts in two propositions of our recent paper with the same title, (ii) to state the correct ...
Andres Jan
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Fractional Sturm-Liouville operators on compact star graphs
In this article, we examine two problems: a fractional Sturm-Liouville boundary value problem on a compact star graph and a fractional Sturm-Liouville transmission problem on a compact metric graph, where the orders αi{\alpha }_{i} of the fractional ...
Mutlu Gökhan, Uğurlu Ekin
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On a nonlinear boundary value problems with impulse action
In this work, a boundary value problems for a system of nonlinear ordinary differential equations that incorporates impulsive actions is considered.
Tleulessova Agila B. +2 more
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Variational approach to Kirchhoff-type second-order impulsive differential systems
In this study, we consider a Kirchhoff-type second-order impulsive differential system with the Dirichlet boundary condition and obtain the existence and multiplicity of solutions to the impulsive problem via variational methods.
Yao Wangjin, Zhang Huiping
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Infinitely many solutions of a second-order $p$-Laplacian problem with impulsive condition [PDF]
summary:Using the critical point theory and the method of lower and upper solutions, we present a new approach to obtain the existence of solutions to a $p$-Laplacian impulsive problem.
Ge, Weigao, Pei, Minghe, Wang, Libo
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Fixed point theroms and their application - discrete Volterra applications [PDF]
The existence of solutions of nonlinear discrete Volterra equations is established. We define discrete Volterra operators on normed spaces of infinite sequences of finite-dimensional vectors, and present some of their basic properties (continuity ...
Baker, Christopher T. H., Song, Yihong
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Multiple subharmonic solutions with prescribed minimal periods for a class of second order impulsive differential systems [PDF]
In this paper, we obtain three subharmonic solutions with different prescribed minimal periods for a class of second order impulsive differential systems.
Ou Huaxin
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