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Abstract Differential and Difference Equations [PDF]
Advances in Difference Equations, 2010 This special issue of Advances in Difference Equations is devoted to highlight some recent developments in abstract differential equations, fractional differential equations, and difference equations and their applications to mathematical physics, engineering, and biology. It consists of 20 papers carefully selected through a rigorous peer review.
Diagana T +2 more
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Differential Equations in Abstract Cones [PDF]
, 2000 We extend the method of quasilinearization to differential equations in abstract normal cones. Under some assumptions, corresponding monotone iterations converge to the unique solution of our problem and this convergence is superlinear or semi ...
Jankowski, Tadeusz
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Frequently hypercyclic abstract higher-order differential equations [PDF]
, 2018 In this note, we analyze frequently hypercyclic solutions of abstract higher-order differential equations in separable infinite-dimensional complex Banach spaces.
Chaouchi, Belkacem, Kostic, Marko
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(ω,c)-Periodic Mild Solutions to Non-Autonomous Abstract Differential Equations
Mathematics, 2021 We investigate the semi-linear, non-autonomous, first-order abstract differential equation x′(t)=A(t)x(t)+f(t,x(t),φ[α(t,x(t))]),t∈R. We obtain results on existence and uniqueness of (ω,c)-periodic (second-kind periodic) mild solutions, assuming that A(t)
Luciano Abadias +2 more
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Almost Automorphic Solutions to Abstract Fractional Differential Equations
Advances in Difference Equations, 2010 A new and general existence and uniqueness theorem of almost automorphic solutions is obtained for the semilinear fractional differential equation , in complex Banach spaces, with Stepanov-like almost automorphic coefficients.
Liang Jin, Xiao Ti-Jun, Ding Hui-Sheng
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Besicovitch Almost Periodic Solutions of Abstract Semi-Linear Differential Equations with Delay
Mathematics, 2022 In this paper, first, we give a definition of Besicovitch almost periodic functions by using the Bohr property and the Bochner property, respectively; study some basic properties of Besicovitch almost periodic functions, including composition theorem ...
Yongkun Li, Mei Huang, Bing Li
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Embedding of vector-valued Morrey spaces and separable differential operators [PDF]
Bulletin of Mathematical Sciences, 2019 The paper is the first part of a program devoted to the study of the behavior of operator-valued multipliers in Morrey spaces. Embedding theorems and uniform separability properties involving E-valued Morrey spaces are proved.
Maria Alessandra Ragusa, Veli Shakhmurov
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Exact Boundary Conditions at an Artificial Boundary for Partial Differential Equations in Cylinders [PDF]
, 1986 The numerical solution of partial differential equations in unbounded domains requires a finite computational domain. Often one obtains a finite domain by introducing an artificial boundary and imposing boundary conditions there. This paper derives exact
Hagstrom, Thomas, Keller, H. B.
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An abstract measure differential equation [PDF]
Proceedings of the American Mathematical Society, 1972 An abstract measure differential equation is introduced as a generalization of ordinary differential equations and measure differential equations. The existence and extension of solutions of this equation are considered.
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B\"acklund transformations for nonlinear evolution equations: Hilbert space approach [PDF]
, 1992 A new method of determining B\"acklund transformations for nonlinear partial differential equations of the evolution type is introduced. Using the Hilbert space approach the problem of finding B\"acklund transformations is brought down to the solution of
Kowalski +8 more
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