Results 41 to 50 of about 25,831 (249)
Volterra-Choquet integral equations [PDF]
We study the classical Volterra integral equation of the second kind on an interval, in which the Lebesgue type integral is replaced by the more general Choquet integral with respect to a monotone, submodular and continuous from below and from above set function, including the so-called distorted Lebesgue measures.
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The bottom‐up strategy based on multiomics data is used for the SynCom design, and it successfully inhibited F. nucleatum growth and achieved stable colonization in vivo. In addition, it promoted tryptophan metabolism and secondary bile acid conversion, reduced lipid accumulation, relieved microbiome disorder, decreased inflammatory reaction, and ...
Zhongkun Zhou+11 more
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MODIFIED QUASI SIMPS0N 'S 3/8 RULE FOR SOLVING SYSTEM OF INTEGRAL EQUATION OF THE SECOND KIND LINEAR [PDF]
Actually, it is possible to solve systems of integral equation by using many approaches. However, in this study, the modified quasi Simpson's 3/8 rule used to find the numerical solution of a system of linear Volterra integral equations of the second ...
Mohammed Yosuf Turki
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Optimal Control Problems of Forward-Backward Stochastic Volterra Integral Equations [PDF]
Optimal control problems of forward-backward stochastic Volterra integral equations (FBSVIEs in short) are formulated and studied. A general duality principle is established for linear backward stochastic integral equation and linear stochastic Fredholm ...
Shi, Yufeng+2 more
core
By engineering bifunctional nitrogen‐dislocation interactions, this work constructs a heterogeneous lamellar structure with N‐rich low‐angle boundaries and coherent nanotwinned martensites, enabling ultrahigh yield/tensile strength (1532/1869 MPa) and activating massive
Chongle Zhang+5 more
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Inverse problem for a Fredholm third order partial integro-differential equation
The solvability of various problems for partial differential equations of the third order is researched in many papers. But, partial Fredholm integro-differential equations of the third order are studied comparatively less. Integro-differential equations
Tursun K Yuldashev
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The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang+5 more
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Quantifying community keystoneness in metacommunities under disturbance
Understanding how metacommunities respond to natural and anthropogenic disturbances is a key objective in ecology. In this study, we introduce an analytical framework to identify communities whose extirpation triggers stronger (hereafter keystone communities) or weaker (hereafter idle communities) cascading effects on extinction and colonization events
Gabriel Khattar, Pedro R. Peres-Neto
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A Singular Nonlinear Volterra Integral Equation [PDF]
This paper concerns the integral equationx(t) = f(t) + t0 g(s)/x(s) dsin which the functions and variables are real-valued and x is the unknown. The interest is in nonnegative continuous solutions of this equation for t ≥ 0 when f ∈ C([0,∞)), f(0) ≥ 0 and g ∈ L1(0, τ) for all τ ∈ (0,∞). Of particular interest is the singular case f(0) = 0.
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General mechanisms for a top–down origin of the predator–prey power law
The ratio of predator‐to‐prey biomass density is not constant along ecological gradients: denser ecosystems tend to have fewer predators per prey, following a scaling relation known as the ‘predator–prey power law'. The origin of this surprisingly general pattern, particularly its connection with environmental factors and predator–prey dynamics, is ...
Onofrio Mazzarisi+2 more
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