In this paper, we study a class of partial functional differential equations with infinite delay within an abstract phase space framework. By employing the $\alpha$-norm, we establish the existence and uniqueness of mild solutions under a more general ...
Zakaria Elhafiane, Khalil Ezzinbi
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Ergodic decompositions of Dirichlet forms under order isomorphisms. [PDF]
Schiavo LD, Wirth M.
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Nonlinear Semigroups Analytic on Sectors [PDF]
Matsumoto, Toshitaka +2 more
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Pseudo almost periodic solutions to some differential equations with infinite delay
This paper studies some sufficient conditions for the existence and uniqueness of a pseudo almost periodic mild solution to abstract hyperbolic differential equations with infinite delay.
Toka Diagana
doaj
In this work, we consider an impulsive non-autonomous semi-linear equation with iterated deviating arguments in a Banach space. We establish the existence and uniqueness of a mild solution. Also we present an example that illustrates our main result.
Alka Chadha, Dwijendra N. Pandey
doaj
Influence of Human Behavior on COVID-19 Dynamics Based on a Reaction-Diffusion Model. [PDF]
Zhi S, Niu HT, Su YH, Han X.
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Heat and Laplace type equations with complex spatial variables in weighted Bergman spaces
In a recent book, the authors of this paper have studied the classical heat and Laplace equations with real time variable and complex spatial variable by the semigroup theory methods, under the hypothesis that the boundary function belongs to the ...
Ciprian G. Gal, Sorin G. Gal
doaj
WELL-POSEDNESS OF A MATHEMATICAL MODEL OF DIABETIC ATHEROSCLEROSIS WITH ADVANCED GLYCATION END-PRODUCTS. [PDF]
Xie X.
europepmc +1 more source
Fine Properties of Geodesics and Geodesic λ-Convexity for the Hellinger-Kantorovich Distance. [PDF]
Liero M, Mielke A, Savaré G.
europepmc +1 more source
Continuous Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on L 2 ( Ω ) Under Control Constraints. [PDF]
Kunisch K, Priyasad B.
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