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Local existence and blowing up phenomena for a class of non-autonomous partial functional differential equations with infinite delay

  • Mamadou Abdoul Diop EMAIL logo , Khalil Ezzinbi and Bila Adolphe Kyelem
Published/Copyright: December 9, 2022
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Nonautonomous Dynamical Systems
From the journal Nonautonomous Dynamical Systems Volume 9 Issue 1

Received: 2021-10-05
Accepted: 2022-09-25
Published Online: 2022-12-09

© 2022 Mamadou Abdoul Diop et al., published by De Gruyter

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https://doi.org/10.1515/msds-2022-0156
Keywords for this article
Nonautonomous equation; Evolution system; Stable family; Partial functional differential equations; Mild solution; local and maximal solution; infinite delay
Creative Commons
BY 4.0

Articles in the same Issue

  1. Epidemic Analysis and Mathematical Modelling of H1N1 (A) with Vaccination
  2. Oscillation and Property B for Semi-Canonical Third-Order Advanced Difference Equations
  3. New Development Theory on Measure Pseudo – Asymptotically Omega Periodic Functions
  4. Existence and Stability Results for Coupled Fractional Dynamic System with Impulses over Non-uniform Time Domains
  5. A Dynamic SIqIRV Mathematical model with Non-linear Force of Isolation, Infection and Cure
  6. Existence of solutions for unilateral problems associated to some quasilinear anisotropic elliptic equations with measure data
  7. Necessary and Sufficient Conditions for Oscillation of Nonlinear Neutral Difference Systems of dim-2
  8. New results on the existence of periodic solutions for Rayleigh equations with state-dependent delay
  9. Periodic Solution for some Class of Linear Partial Differential Equation with infinite Delay using Semi-Fredholm perturbations
  10. Stepanov type µ-pseudo almost automorphic mild solutions of semilinear fractional integrodifferential equations
  11. Oscillation of Second-Order Half-linear Retarded Difference Equations via a Canonical Transform
  12. Periodic solution of a discrete commensal symbiosis model with Hassell-Varley type functional response
  13. On the existence of global weak solutions of a 2D sediment transport model
  14. Mathematical modeling of the dynamics of vector-borne diseases transmitted by mosquitoes : taking into account aquatic stages and gonotrophic cycle
  15. Local existence and blowing up phenomena for a class of non-autonomous partial functional differential equations with infinite delay
  16. Existence and Stability Results of Stochastic Differential Equations with Non-instantaneous Impulse and Poisson jumps
  17. Existence of mild solutions for nonlocal ψ−Caputo-type fractional evolution equations with nondense domain
  18. Stability Analysis of B.1.1.529 SARS-Cov-2 Omicron Variant Mathematical Model: The Impacts Of Quarantine And Vaccination
  19. Unbounded rational systems with nonconstant coefficients
  20. Optimal strategies for controlling the outbreak of COVID-19: Reducing its cost and duration
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