Search Results - "Lan, Kunquan"

Linear higher-order fractional differential and integral equations by Lan, Kunquan

“…We study the equivalences and the implications between linear (or homogeneous) nth order fractional differential equations (FDEs) and integral equations in the…”
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Some Sufficient Conditions for Compactness of Linear Hammerstein Integral Operators and Applications by Lan, Kunquan

“…Sufficient conditions for compactness of linear Hammerstein integral operators are studied. New notions of continuity and sequential dominatedness of the…”
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Compactness of Riemann–Liouville fractional integral operators by Lan, Kunquan

“…We obtain results on compactness of two linear Hammerstein integral operators with singularities, and apply the results to give new proof that…”
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Positive Solutions of Elliptic Boundary Value Problems and Applications to Population Dynamics by Lan, Kunquan, Lin, Wei

“…In this paper, we investigate the dynamics of population inhabiting a favorable environment surrounded by a region where survival is impossible. We use a…”
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Minimum Principles for Sturm–Liouville Inequalities and Applications by Ngo, Phuc, Lan, Kunquan

“…A minimum principle for a Sturm–Liouville (S-L) inequality is obtained, which shows that the minimum value of a nonconstant solution of a S-L inequality never…”
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Local stability analysis of ratio-dependent predator–prey models with predator harvesting rates by Heggerud, Christopher M., Lan, Kunquan

“…We study the local stability of ratio-dependent predator–prey models with nonconstant predator harvesting rates. We provide more general conditions on the…”
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Solutions and eigenvalues of Laplace's equation on bounded open sets by Yang, Guangchong, Lan, Kunquan

“…We obtain solutions for Laplace's and Poisson's equations on bounded open subsets of \(R^n\) (\(n\geq 2)\),  via Hammerstein integral operators involving…”
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Benefits and unintended consequences of antimicrobial de-escalation: Implications for stewardship programs by Hughes, Josie, Huo, Xi, Falk, Lindsey, Hurford, Amy, Lan, Kunquan, Coburn, Bryan, Morris, Andrew, Wu, Jianhong

“…Sequential antimicrobial de-escalation aims to minimize resistance to high-value broad-spectrum empiric antimicrobials by switching to alternative drugs when…”
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Stability and phase portraits of susceptible-infective-removed epidemic models with vertical transmissions and linear treatment rates by Marvin Hoti, Xi Huo, Kunquan Lan

“…We study stability and phase portraits of susceptible-infective-removed (SIR) epidemic models with horizontal and vertical transmission rates and linear…”
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A basic theory for initial value problems of first order ordinary differential equations with Lp-Carathéodory functions and applications by Lan, Kunquan

“…A basic theory on the existence and uniqueness of solutions and local solutions for initial value problems (IVPs) of first order ordinary differential…”
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A basic theory for initial value problems of first order ordinary differential equations with L-Carathéodory functions and applications by Lan, Kunquan

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Linear first order Riemann-Liouville fractional differential and perturbed Abel's integral equations by Lan, Kunquan

“…Linear first order Riemann-Liouville fractional differential equations are studied. These new equations unify and generalize the Riemann-Liouville, modified…”
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Generalizations of Riemann–Liouville fractional integrals and applications by Lan, Kunquan

“…The notion of a generalized Riemann–Liouville fractional integral is introduced, and its domain, range, and properties are studied. The new notion and…”
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Corrigendum to “Linear first order Riemann-Liouville fractional differential and perturbed Abel's integral equations” [J. Differ. Equ. 306 (2022) 28–59] by Lan, Kunquan

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Existence and uniqueness of solutions of nonlinear Cauchy‐type problems for first‐order fractional differential equations by Lan, Kunquan

“…New properties of the first‐order Riemann–Liouville fractional integrals are proved and first‐order fractional derivatives for the equivalence class of…”
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Nonzero nonnegative solutions of population models of Ricker types and theory of limit inferiors and superiors by Lan, Kunquan

“…The existence of nonzero nonnegative solutions of the population models of Ricker types governed by systems of second‐order elliptic boundary value problems is…”
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Coexistence fixed point theorems in product Banach spaces and applications by Lan, Kunquan

“…New coexistence fixed point theorems in product Banach spaces are established via the classical theory of fixed point index for compact maps defined on cones…”
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Newtonian potential and positive solutions of Poisson equations by Yang, Guangchong, Lan, Kunquan

“…We study the properties of the well-known Newtonian potential operator including its domain, codomain, compactness, relation with the Poisson’s equation and…”
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A variational inequality theory in reflexive smooth Banach spaces and applications to p-Laplacian elliptic inequalities by Lan, Kunquan

“…We develop a theory of variational inequality for demicontinuous S-contractive maps in reflexive smooth Banach spaces. Variational inequality theorems are…”
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Population models with quasi-constant-yield harvest rates by Lan, Kunquan, Lin, Wei

“…One-dimensional logistic population models with quasi-constant-yield harvest rates are studied under the assumptions that a population inhabits a patch of…”
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