CLAPPING, VIBRATING, POSTURAL DRAINAGE, AND EFFECTIVE COUGH AS MEASURES TO RESOLVE THE PROBLEM OF INEFFECTIVE AIRWAY CLEARANCE IN PATIENTS WITH BRONCHITIS by Wahyu Pranoto, Difran Nobel Bistara, Umdatus Soleha, Priyo Mukti Pribadi Winoto

“…Results: The results of the case study found that the patient had a cough with phlegm for 2 weeks, chest pain when coughing, increased sputum production, had rhonchi, and the patient was an active smoker. Evaluation of the results of nursing care with effective Clapping, Vibrating, Postural Drainage, and Coughing for 3 days once a day showed decreased rhonchi, decreased sputum production, and patients can cough effectively independently. …”
Get full text

Global Regularity for the ∂-b-Equation on CR Manifolds of Arbitrary Codimension by Shaban Khidr, Osama Abdelkader

“…In this paper, assuming that M satisfies condition Y(s) for some s with 1≤s≤n-l-1, we prove an L2-existence theorem and global regularity for the solutions of the tangential Cauchy-Riemann equation for (0,s)-forms on M.…”
Get full text

The closed neighborhood and filter conditions in solid sequence spaces by P. D. Johnson, Jr.

“…Let E be a topological vector space of scalar sequences, with topology τ; (E,τ) satisfies the closed neighborhood condition iff there is a basis of neighborhoods at the origin, for τ, consisting of sets whlch are closed with respect to the topology π of coordinate-wise convergence on E; (E,τ) satisfies the filter condition iff every filter, Cauchy with respect to τ, convergent with respect to π, converges with respect to τ.…”
Get full text

On the stability estimation of Wang's characterization theorem by Romanas Januškevičius

“…The technique commonly employed in proving this characterization is the well-known Cauchy functional equ­ation φ(a√(xa + ya)) = φ(x)φ(y). …”
Get full text

Global Analysis for Rough Solutions to the Davey-Stewartson System by Han Yang, Xiaoming Fan, Shihui Zhu

“…The global well-posedness of rough solutions to the Cauchy problem for the Davey-Stewartson system is obtained. …”
Get full text

Spatial Approximation of Nondivergent Type Parabolic PDEs with Unbounded Coefficients Related to Finance by Fernando F. Gonçalves, Maria Rosário Grossinho

“…We study the spatial discretisation of the Cauchy problem for a multidimensional linear parabolic PDE of second order, with nondivergent operator and unbounded time- and space-dependent coefficients. …”
Get full text

SPDIEs and BSDEs Driven by Lévy Processes and Countable Brownian Motions by Pengju Duan

“…We prove the existence and uniqueness of the solutions to the backward stochastic differential equations by constructing Cauchy sequence and fixed point theorem. Moreover, we give a probabilistic solution of stochastic partial differential integral equations by means of the solution of backward stochastic differential equations. …”
Get full text

Least Squares Estimation for Discretely Observed Stochastic Lotka–Volterra Model Driven by Small α-Stable Noises by Chao Wei, Yan Wei, Yingying Zhou

“…The consistency and the rate of convergence of the least squares estimators are proved, and the asymptotic distribution of the estimators are derived by Markov inequality, Cauchy–Schwarz inequality, and Gronwall’s inequality. …”
Get full text

Quadratic Cost Minimax Optimal Control Problems for a Semilinear Viscoelastic Equation with Long Memory by Jin-soo Hwang

“…A global well-posedness theorem regarding the solutions to its Cauchy problem is given. We formulate the minimax control problem with bilinear control inputs and corresponding disturbances. …”
Get full text

Conservative Approach of a Dentigerous Cyst by Farah Chouchene, Wassim Ben Ameur, Habib Hamdi, Maissa Bouenba, Fatma Masmoudi, Ahlem Baaziz, Fethi Maatouk, Hichem Ghedira

Get full text

Investigation of Structural, Magnetic, and Optical Properties of ZnO Codoped with Co and Cd by Lubna Mustafa, Safia Anjum, Salma Waseem, Rehana Zia, Rameesha Choudhry, Shahid M. Ramay, Asif Mahmood, Shahid Atiq, Salah Ud-Din Khan

Get full text

Fusion or Gemination? Diagnosis and Management in Primary Teeth: A Report of Two Cases by Mouna Ben Salem, Farah Chouchene, Fatma Masmoudi, Ahlem Baaziz, Fethi Maatouk, Hichem Ghedira

Get full text

Analytical Solution for the Time-Fractional Telegraph Equation by F. Huang

“…We discuss and derive the analytical solution for three basic problems of the so-called time-fractional telegraph equation. The Cauchy and Signaling problems are solved by means of juxtaposition of transforms of the Laplace and Fourier transforms in variable t and x, respectively. the appropriate structures and negative prosperities for their Green functions are provided. …”
Get full text

Approximate Homomorphisms and Derivations on Normed Lie Triple Systems by Hark-Mahn Kim, Juri Lee

“…We investigate the generalized Hyers-Ulam stability of homomorphisms and derivations on normed Lie triple systems for the following generalized Cauchy-Jensen additive equation r0f((s∑j=1pxj+t∑j=1dyj)/r0)=s∑j=1p‍f(xj)+t∑j=1d‍f(yj), where r0,s, and  t are nonzero real numbers. …”
Get full text

Nearly Derivations on Banach Algebras by M. Eshaghi Gordji, H. Khodaei, G. H. Kim

“…We investigate the Hyers-Ulam stability of derivations on Banach algebras related to the following generalized Cauchy functional inequality ‖∑1≤𝑖<𝑗≤𝑛1≤𝑘𝑙≠𝑖,𝑗≤𝑛𝑓((𝑥𝑖+𝑥𝑗∑)/2+𝑛−2𝑙=1𝑥𝑘𝑙∑)+𝑓(𝑛𝑖=2𝑥𝑖)+𝑓(𝑥1∑)‖≤‖𝜆𝑓(𝑛𝑖=1𝑥𝑖)‖.…”
Get full text

Analogue black holes and scalar-dilaton theory by Moss, Ian G.

“…This instability is recognisable to relativists as the analogue to the destabilisation of the Cauchy horizon of a black hole due to vacuum polarization.…”
Get full text

On the Surface Fields of a Small Circular Loop Antenna Placed on Plane Stratified Earth by Mauro Parise

“…The developed procedure leads to casting the complete integral representations for the EM field components into forms suitable for application of Cauchy’s integral formula. As a result, the surface fields are expressed as sums of Hankel functions. …”
Get full text

Origin of Non-Gaussian Velocity Distribution Found in Freestanding Graphene Membranes by Yue Kai, Wenlong Xu, Bailin Zheng, Nan Yang, Kai Zhang, P. M. Thibado

“…In this study, an analytic derivation is made for the truncated Cauchy-Lorentz velocity distribution experimentally observed in freestanding graphene membranes. …”
Get full text

Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition by Zhongqi Peng, Yuan Li, Qi Zhang, Yimin Xue

“…In this paper, using Banach fixed point theorem, we obtain the uniqueness of the solution of nonlinear and linear Cauchy problem with the conformable derivatives in the Caputo setting, respectively. …”
Get full text

On Pexider Differences in Topological Vector Spaces by Abbas Najati, M. R. Abdollahpour, Gwang Hui Kim

“…We consider also the Pexiderized Cauchy functional equation.…”
Get full text