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Tauberian conditions for Cesàro summability of integrals
Suppose that \(f\) is a real continuous function and let \(s(x)=\int_{0}^{x}f(t)\,dt\). The Cesàro mean of \(s(x)\) is given by \(\sigma (s)(x)=x^{-1}\int_{0}^{x}s(t)\,dt\). If \(s(x)\rightarrow L\), then automatically \(\sigma (s)(x)\rightarrow L\), i.e., \(s(x)\) is Cesàro summable to \(L\).
Ibrahim Çanak, Ümit Totur
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On the Boundary Value Problem for a Three-Dimensional Analog of the Boussinesq Differential Equation [PDF]
This paper considers the questions of solvability and construction of the solution of the nonlocal boundary value problem for a three-dimensional analog of the homogeneous fourth-order Boussinesq differential equation.
T.K. Yuldashev
doaj
Study Boundary Problem with Integral condition for Fractional Differential Equations [PDF]
In last many years ago there was a great interest in studying the existence of positive solutions for fractional differential equations. Many authors have considered the existence of positive solutions of non-linear differential equations of non-integer ...
Nawal Abdulkader, Nadia Adnan
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ABSTRACT Background Combined oral contraceptive (COC) use in obese adult women dramatically increases the relative risk of developing a pulmonary embolism (PE). The risk of a PE in obese adolescent females taking contraceptives is currently unknown. The purpose of this investigation was to determine the effect of body mass index (BMI) and contraceptive
John Puetz, Joanne Salas
wiley +1 more source
On Local Integrability Conditions of Jet Groupoids [PDF]
11 ...
openaire +3 more sources
ABSTRACT Background Fertility preservation (FP) is increasingly integrated into the care of pediatric patients exposed to gonadotoxic therapy or conditioning for hematopoietic stem cell transplantation (HSCT), yet perioperative data in infants and toddlers remain scarce.
Kerstin Saalabian +13 more
wiley +1 more source
Starlikeness Condition for a New Differential-Integral Operator
A new differential-integral operator of the form I n f ( z ) = ( 1 − λ ) S n f ( z ) + λ L n f ( z ) , z ∈ U , f ∈ A , 0 ≤ λ ≤ 1 , n ∈ N is introduced in this paper, where S n is the Sălăgean differential operator and
Mugur Acu, Gheorghe Oros
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A Kac-Feynman Integral Equation for Conditional Wiener Integrals [PDF]
The authors prove that the conditional Wiener integral, \(E(F\mid x)\), with conditioning function \(X(x)=\int^ t_ 0h(u)dx(u)\), and \(F(x)=\exp\left\{\int^ T_ 0\theta(s,\int^ s_ 0h(u)dx(u))ds\right\}\), satisfies the Kac-Feynman integral equation, where \(x\) is an element of the Wiener space \(C[0,T]\) and \(\theta(.,.):[0,T]\times R\to C\) is a ...
Park, Chull, Skoug, David
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ABSTRACT Background Cerebellar ataxia after pediatric brain tumor treatment can cause persistent gait, balance, and speech impairment, yet no established rehabilitation strategy exists. Somato‐cognitive coordination therapy (SCCT) is a virtual reality–guided intervention designed to promote sensorimotor integration through visually constrained reaching
Masanobu Takeuchi +10 more
wiley +1 more source
On a Kirchhoff diffusion equation with integral condition
This paper is devoted to Kirchhoff-type parabolic problem with nonlocal integral condition. Our problem has many applications in modeling physical and biological phenomena.
Danh Hua Quoc Nam +3 more
doaj +1 more source

