Weighted pseudo asymptotically Bloch periodic solutions to nonlocal Cauchy problems of integrodifferential equations in Banach spaces
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Yong-Kui Chang
and
Jianguo Zhao
Abstract
This paper is mainly concerned with some new asymptotic properties on mild solutions to a nonlocal Cauchy problem of integrodifferential equation in Banach spaces. Under some well-imposed conditions on the nonlocal Cauchy, the neutral and forced terms, respectively, we establish some existence results for weighted pseudo S-asymptotically (ω, k)-Bloch periodic mild solutions to the referenced equation on
Funding source: Natural Science Foundation of Shaanxi Province http://dx.doi.org/10.13039/501100007128
Award Identifier / Grant number: 2020JM-183
Acknowledgments
Authors would like to thank the anonymous referees for carefully reading this manuscript and giving valuable suggestion to improve this paper.
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Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
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Research funding: This work was partially supported by NSF of Shaanxi Province (2020JM-183).
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Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
References
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- Frontmatter
- Original Research Articles
- Numerical solutions for variable-order fractional Gross–Pitaevskii equation with two spectral collocation approaches
- Threshold dynamics of an HIV-1 model with both virus-to-cell and cell-to-cell transmissions, immune responses, and three delays
- Numerical scheme and analytical solutions to the stochastic nonlinear advection diffusion dynamical model
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- On a discrete fractional stochastic Grönwall inequality and its application in the numerical analysis of stochastic FDEs involving a martingale
- A new self adaptive Tseng’s extragradient method with double-projection for solving pseudomonotone variational inequality problems in Hilbert spaces
- Solitary waves of the RLW equation via least squares method
- Optical solitons and stability regions of the higher order nonlinear Schrödinger’s equation in an inhomogeneous fiber
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- Modified inertial subgradient extragradient method for equilibrium problems
- Propagation of dark-bright soliton and kink wave solutions of fluidized granular matter model arising in industrial applications
- Existence and uniqueness of positive solutions for fractional relaxation equation in terms of ψ-Caputo fractional derivative
- Investigation of nonlinear fractional delay differential equation via singular fractional operator
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