A New Grünwald-Letnikov Derivative Derived from a Second-Order Scheme by B. A. Jacobs

“…A novel derivation of a second-order accurate Grünwald-Letnikov-type approximation to the fractional derivative of a function is presented. …”
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Oscillation Criteria for a Class of Second-Order Nonlinear Differential Equations with Damping Term by Zigen Ouyang, Jichao Zhong, Shuliang Zou

“…By using a new method, we obtain some new sufficient conditions for the oscillation of the above equation, and some references are extended in this paper. …”
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Second-Order Neutral Differential Equations with Sublinear Neutral Terms: New Criteria for the Oscillation by Meraa Arab, Hajer Zaway, Ali Muhib, Sayed K. Elagan

“…This paper aims to study the oscillatory behavior of second-order neutral differential equations. Using the Riccati substitution technique, we introduce new oscillation criteria that essentially improve some related criteria from the literature. …”
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EFFECT OF FENUGREEK SEEDS (Trigonella foenum graecum), METHIONINE AND INDUCED OXIDATIVE STRESS ON SOME BIOCHEMICAL PARAMETERS AND ANTIOXIDANTS STATUS FOR SOME TISSUES IN QUAIL by Saad Al-Nuaimmi, Saeb. Y. Abdul-Rahman

“…This study was designed to detect an improvement ability of Fenugreek seeds and Methionine on some biochemical parameters and antioxidants status in quail females.The trial included six treatments: first (fenugreek seeds), second (fenugreek + H₂O₂), third (methionine), fourth (methionine + H₂O₂), fifth Oxidative stress (H₂O₂), sixth (control). …”
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Manifestations of Latgalian Self-awareness in Emigration in Western Countries after the Second World War by Vladislavs Malahovskis

“…The historical concept (authoritarian regime of Karlis Ulmanis and Latgale). Some sharply criticized Karlis Ulmanis for the restriction of the Latgalian language and literature in the second half of the 30s of the 20th century, whilst others supported his economic policy and other activities in favour of Latgale. …”
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Some verbal cues to deception in near-death experiences by Shima Solati, Ali Izanloo, Azam Estaji

“…Second, liars might be affected by the concept of this specific research; they might link the topic of near-death experience to what they have heard about afterlife. …”
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HERMITE-HADAMARD’S INEQUALITIES FOR FUNCTIONS WHOSE FIRST DERIVATIVES ARE (s,m)-PREINVEX IN THE SECOND SENSE by Badreddine Meftah

“…Abstaract−In this paper, we introduce a new class of convex functions which is called (s, m)- preinvex functions in the second sense then we establish some new Hermite-Hadamard’s inequalities whose modulus of the first derivatives are in this novel class…”
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Kinship and Transborder Exchange at the Bulgarian-Serbian border in the second half of the 20th century by Galia Valtchinova

“…The ritual and effective uses of kinship in the peculiar conditions of State socialism are analyzed in the second part of the paper. The third and most lengthy part is dedicated to the post-socialist transformations in the visions of kinship and to some patterns of the use of kin in the context of ‘liberal market’ economy. …”
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The Asymptotic Behavior for Second-Order Neutral Stochastic Partial Differential Equations with Infinite Delay by Huabin Chen

“…By establishing two Lemmas, the exponential stability and the asymptotical stability for mild solution to the second-order neutral stochastic partial differential equations with infinite delay are obtained, respectively. …”
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Representation of Solutions of a Second-Order System of Two Difference Equations With Variable Coefficients by Ahmed Ghezal, Imane Zemmouri

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Reduction an Inverse Problem to a System of Second Kind Fredholm Integral Equations with No Singularities by M. Sajjadmanesh, H. Aydi, J. Younis

“…In this problem, the goal is to reduce it into a system of Fredholm integral equations of the second kind involving kernels with weakly/or no singularities (Fredholm property) by considering some additional conditions on the parameters of the problem. …”
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Existence of One-Signed Solutions of Discrete Second-Order Periodic Boundary Value Problems by Ruyun Ma, Yanqiong Lu, Tianlan Chen

“…We prove the existence of one-signed periodic solutions of second-order nonlinear difference equation on a finite discrete segment with periodic boundary conditions by combining some properties of Green's function with the fixed-point theorem in cones.…”
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Existence criteria and classification schemes for positive solutions of second-order nonlinear difference systems by Wan-Tong Li, Can-Yun Huang, Sui Sun Cheng

“…Finally, some examples are given to illustrate the main results.…”
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Interval Oscillation Criteria for Second-Order Forced Functional Dynamic Equations on Time Scales by Shao-Yan Zhang, Qi-Ru Wang

“…This paper is concerned with oscillation of second-order forced functional dynamic equations of the form (r(t)(xΔ(t))γ)Δ+∑i=0n‍qi(t)|x(δi(t))|αisgn  x(δi(t))=e(t) on time scales. …”
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Leighton–Wintner type oscillation criteria for second-order differential equations with $p(t)$-Laplacian by Kōdai Fujimoto, Masakazu Onitsuka

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Second-order nonlinear neutral differential equations with delay term: Novel oscillation theorems by Saeed Althubiti

“…This work aims to propose novel criteria to guarantee the oscillation of solutions for second-order differential equations. To analyze the oscillatory characteristics of the studied equation, new necessary conditions are introduced. …”
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An optimal fourth-order second derivative free iterative method for nonlinear scientific equations by Ghulam Akbar Nadeem, Waqas Aslam, Faisal Ali

“… In the present paper, we develop an efficient second derivative free two-step optimal fourth-order iterative method for nonlinear equations. …”
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Existence of Three Solutions for Nonlinear Operator Equations and Applications to Second-Order Differential Equations by Mingliang Song, Shuyuan Mei

“…Applying the results to second-order Hamiltonian systems satisfying generalized periodic boundary conditions or Sturm-Liouville boundary conditions and elliptic partial differential equations satisfying Dirichlet boundary value conditions, we obtain some new theorems concerning the existence of three solutions.…”
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Generalized Fractional Integral Inequalities for $(h,m,s)$-Convex Modified Functions of Second Type by Juan Napoles Valdes, Bahtiyar Bayraktar

“…New variants of the Hermite - Hadamard inequality within the framework of generalized fractional integrals for $(h,m,s)$-convex modified second type functions have been obtained in this article. …”
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Oscillation of Certain Second-Order Sub-Half-Linear Neutral Impulsive Differential Equations by Yuangong Sun

“…By introducing auxiliary functions, we investigate the oscillation of a class of second-order sub-half-linear neutral impulsive differential equations of the form [r(t)ϕβ(z′(t))]′+p(t)ϕα(x(σ(t)))=0,  t≠θk,Δϕβ(z′(t))|t=θk+qkϕα(x(σ(θk)))=0,Δx(t)|t=θk=0, where β>α>0,  z(t)=x(t)+λ(t)x(τ(t)).   …”
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