Existence Results for Fractional Differential Inclusions with Multivalued Term Depending on Lower-Order Derivative by Xiaoyou Liu, Zhenhai Liu

“…Some existence results are obtained by using standard fixed point theorems. A possible generalization for the inclusion problem with integral boundary conditions is also discussed. …”
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The Axioms Independence of Pseudo-Weak-R0 Algebras and Filters by Yong Lin Liu

“…These can be seen as noncommutative generalizations of the corresponding ones in weak-R0 algebras.…”
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Promieniowanie słoneczne a witamina D i nowotwory skóry by Grażyna Nowicka

“…Ultraviolet В radiation in required for the biosynthesis of vitamin D, which is generally associated with calcium metabolism and significantly influences a wide range of metabolic systems, therefore, has a strong influence on human health. …”
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Solving higher order Fuchs type differential systems avoiding the increase of the problem dimension by E. Navarro, L. Jódar, R. Company

“…In this paper, we develop a Frobenius matrix method for solving higher order systems of differential equations of the Fuchs type. Generalized power series solution of the problem are constructed without increasing the problem dimension. …”
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Categories of (I,I)-Fuzzy Greedoids by Zhen-Yu Xiu, Fu-Gui Shi

“…Then I-feasibility preserving mappings, fuzzifying feasibility preserving mappings, and (I,I)-fuzzy feasibility preserving mappings are given as generalizations of feasibility preserving mappings. We study the relations among greedoids, I-greedoids, fuzzifying greedoids, and (I,I)-fuzzy greedoids from a categorical point of view.…”
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On Some Vector-Valued Inequalities of Gronwall Type by Dah-Chin Luor

“…We also show that the classical Gronwall-Bellman-Bihari integral inequality can be generalized from composition operators to a variety of operators, which include integral operators, maximal operators, geometric mean operators, and geometric maximal operators.…”
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A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality by Wei Wei, H. M. Srivastava, Yunyi Zhang, Lei Wang, Peiyi Shen, Jing Zhang

“…Moreover, we also show that the local fractional integral inequality on fractal space, which we have proved in this paper, is a new generalization of the classical Anderson's inequality.…”
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Field Key to Identification of Scale Insects on Holly (Ilex spp.) by Jamba Gyeltshen, Amanda C. Hodges

“…A well managed planting is generally free of pests and diseases but when growing conditions are poor, pest and disease can become a problem (Ingram and Barrick 2003). …”
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New Oscillation Results of Second-Order Damped Dynamic Equations with p-Laplacian on Time Scales by Yang-Cong Qiu, Qi-Ru Wang

“…By employing a generalized Riccati technique and functions in some function classes for integral averaging, we derive new oscillation criteria of second-order damped dynamic equation with p-Laplacian on time scales of the form (rtφγ(xΔ(t)))Δ+ptφγ(xΔ(t))+f(t,x(g(t)))=0, where the coefficient function p(t) may change sign. …”
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A Maximal Element Theorem in FWC-Spaces and Its Applications by Haishu Lu, Qingwen Hu, Yulin Miao

“…Using the maximal element theorem, we develop new existence theorems of solutions to variational relation problem, generalized equilibrium problem, equilibrium problem with lower and upper bounds, and minimax problem in FWC-spaces. …”
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Oscillation of Nonlinear Fractional Dynamic Equations with Forcing Term by S. Manikandan, V. Muthulakshmi, S. Harikrishnan, Porpattama Hammachukiattikul

“…Our approach is determined from the implementation of generalized Riccati transformation, some properties of conformable time-scale fractional calculus, and certain mathematical inequalities. …”
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Field Key to Identification of Scale Insects on Holly (Ilex spp.) by Jamba Gyeltshen, Amanda C. Hodges

“…A well managed planting is generally free of pests and diseases but when growing conditions are poor, pest and disease can become a problem (Ingram and Barrick 2003). …”
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Some New Exact Solutions of (1+2)-Dimensional Sine-Gordon Equation by Wei-Xiong Chen, Ji Lin

“…We use a generalized tanh function expansion method and a direct method to study the analytical solutions of the (1+2)-dimensional sine Gordon (2DsG) equation. …”
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On Some Interpolative Contractions of Suzuki Type Mappings by Andreea Fulga, Seher Sultan Yeşilkaya

“…In addition, some results are given. These results generalize several new results present in the literature. …”
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On rational approximation in a ball in ℂN by P. W. Darko, S. M. Einstein-Matthews, C. H. Lutterodt

“…These methods enable us to generalize and extend key results of Pommeranke and Gonchar.…”
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Association between a Primitive Brain Tumor and Cerebral Aspergillosis by Siegfried Hélage, Charles Duyckaerts, Danielle Seilhean, Jean-Jacques Hauw, Jacques Chiras

“…This infection of the central nervous system is generally the complication of an invasive aspergillosis with hematogenic scattering from pulmonary focal spots. …”
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Florida Crop/Pest Management Profile: Specialty Brassicas (Arrugula, Bok Choy, Chinese Broccoli, Chinese Mustard, Napa) by Mark A. Mossler

“…Mites, viruses, and nematodes are generally not problematic in Florida leafy brassica production. …”
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Les propriétés, actions et principales problématiques des gels de Pemulen®TR-2 by Sofia Hennen Rodriguez

“…However, these gels raise several questions and many studies do not recommend the base generally used, the triethanolamine. On one hand, the diverse properties and actions of these gels will be discussed. …”
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Existence of Optimal Control for a Nonlinear-Viscous Fluid Model by Evgenii S. Baranovskii, Mikhail A. Artemov

“…For a given bounded set of admissible controls, we construct generalized (weak) solutions that minimize a given cost functional.…”
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Sharp Bounds for Fractional Conjugate Hardy Operator on Higher-Dimensional Product Spaces by Zequn Wang, Mingquan Wei, Qianjun He, Dunyan Yan

“…In this paper, we obtain the sharp bound for fractional conjugate Hardy operator on higher-dimensional product spaces from L1ℝn1×⋯×ℝnm to the space wLQℝn1×⋯×ℝnm and Lpℝn1×⋯×ℝnm to the space Lqℝn1×⋯×ℝnm. More generally, the operator norm of the fractional Hardy operator on higher-dimensional product spaces from LPℝn1×⋯×ℝnm to LQIℝn1×⋯×ℝnm is obtained.…”
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