Positive almost periodic solutions for state-dependent delay Lotka-Volterra competition systems by Yongkun Li, Chao Wang

“…In this article, using Mawhin's continuation theorem of coincidence degree theory, we obtain sufficient conditions for the existence of positive almost periodic solutions for the system of equations $$ dot{u}_i(t)=u_i(t)Big[r_i(t)-a_{ii}(t)u_i(t) -sum_{j=1, jeq i}^na_{ij}(t)u_jig(t-au_j(t,u_1(t), dots,u_n(t))ig)Big], $$ where $r_i,a_{ii}>0$, $a_{ij}geq0(jeq i$, $i,j=1,2,dots,n)$ are almost periodic functions, $au_iin C(mathbb{R}^{n+1},mathbb{R})$, and $au_i(i=1,2,dots,n)$ are almost periodic in $t$ uniformly for $(u_1,dots,u_n)^Tinmathbb{R}^n$. …”
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Positive almost periodic solutions for a predator-prey Lotka-Volterra system with delays by Yuan Ye

“…\end{eqnarray*} where $a_i,r_j, a_{il}, b_{ij},d_{jl},e_{jh}\in C(\mathbb{R},(0,\infty)\sigma_{il},\tau_{ij},\delta_{jl},\theta_{jh}\in C(\mathbb{R},\mathbb{R})(i,l=1,\ldots,n, j,h=1,\ldots,m)$ are almost periodic functions.…”
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Stepanov Almost Periodic Type Functions and Applications to Abstract Impulsive Volterra Integro-Differential Inclusions by Marko Kostić, Wei-Shih Du

“…In this paper, we analyze various classes of Stepanov-<i>p</i>-almost periodic functions and Stepanov-<i>p</i>-almost automorphic functions (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>p</mi><mo>></mo><mn>0</mn></mrow></semantics></math></inline-formula>). …”
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CYCLOSTATIONARY PROCESSES AND TIME SERIES : THEORY, APPLICATIONS, AND GENERALIZATIONS / by Napolitano, Antonio, author 649040, ScienceDirect (Online service) 7722

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Harmonic analysis of functions almost periodic at infinity in Banach modules by Strukova, Irina Igorevna

“…By using the properties of the Beurling spectrum and the concepts of the set of non-almost periodicity of a vector from a Banach module, we obtain a criterion of representability of an almost periodic at infinity function in the form of a sum of vanishing at infinity and the usual almost periodic functions.…”
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Quadratic-Phase Wave-Packet Transform in <i><b>L</b></i>²(<inline-formula><math display="inline"><semantics><mrow><mi mathvariant="double-struck">R</mi></mrow></semantic... by Hari M. Srivastava, Firdous A. Shah, Waseem Z. Lone

“…In addition, we study the quadratic-phase wave-packet transform in the framework of almost periodic functions. Finally, we extend the scope of the present work by investigating the composition of quadratic-phase wave packet transforms.…”
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A Note on the Topological Group <i>c</i>₀ by Michael Megrelishvili

“…A well-known result of Ferri and Galindo asserts that the topological group <inline-formula> <math display="inline"> <semantics> <msub> <mi>c</mi> <mn>0</mn> </msub> </semantics> </math> </inline-formula> is not reflexively representable and the algebra WAP<inline-formula> <math display="inline"> <semantics> <mrow> <mo>(</mo> <msub> <mi>c</mi> <mn>0</mn> </msub> <mo>)</mo> </mrow> </semantics> </math> </inline-formula> of weakly almost periodic functions does not separate points and closed subsets. …”
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Almost Periodic Solutions of Abstract Impulsive Volterra Integro-Differential Inclusions by Wei-Shih Du, Marko Kostić, Daniel Velinov

“…In this paper, we introduce and systematically analyze the classes of (pre-)<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi mathvariant="script">B</mi><mo>,</mo><mi>ρ</mi><mo>,</mo><mrow><mo>(</mo><msub><mi>t</mi><mi>k</mi></msub><mo>)</mo></mrow><mo>)</mo></mrow></semantics></math></inline-formula>-piecewise continuous almost periodic functions and (pre-)<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi mathvariant="script">B</mi><mo>,</mo><mi>ρ</mi><mo>,</mo><mrow><mo>(</mo><msub><mi>t</mi><mi>k</mi></msub><mo>)</mo></mrow><mo>)</mo></mrow></semantics></math></inline-formula>-piecewise continuous uniformly recurrent functions with values in complex Banach spaces. …”
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