Third‐order differential subordinations for multivalent functions in the theory of source‐sink dynamics
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DOI: 10.1002/mma.7486
Abstract: We propose third‐order differential subordination results associated with new admissible classes of multivalent functions defined in the open unit disk on the complex plane. Besides, we investigate the geometric properties of multivalent functions associated with… read more here.
Keywords: source sink; third order; source; order differential ... See more keywords
Higher-Order Differential Equations
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DOI: 10.1007/978-3-030-20506-5_4
Abstract: Through our study of linear systems of differential equations, we have already encountered higher-order differential equations that arise naturally in physical applications. Two particularly important ones are those associated with spring-mass systems and RLC circuits.… read more here.
Keywords: equations higher; higher order; differential equations; order differential ... See more keywords
First Order Differential Operators Associated to the Space of q-Monogenic Functions
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DOI: 10.1007/s00006-015-0583-4
Abstract: In this paper we characterize all the first order differential operators, with paravector coefficients, associated with the q-monogenic operator. Then initial value problems involving these operators are always solvable provided that the initial function is… read more here.
Keywords: differential operators; operators associated; first order; order differential ... See more keywords
Existence Results for a 2nth-Order Differential Equation via Variational Methods
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DOI: 10.1007/s00009-017-1055-y
Abstract: In this paper, we discuss the existence of solutions for a 2nth-order differential equation with Sturm–Liouville operator. Using critical point theorems due to Bonanno and Candito, we prove that there exist at least three classical… read more here.
Keywords: 2nth order; differential equation; existence; order differential ... See more keywords
Periodic Solutions of Third-order Differential Equations with Finite Delay in Vector-valued Functional Spaces
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DOI: 10.1007/s10114-018-8001-1
Abstract: In this paper, we study the well-posedness of the third-order differential equation with finite delay (P3): αu‴ (t) + u″(t) = Au(t) + Bu′ (t) + Fut + f(t)(t ∈ $$\mathbb{T}$$T:= [0, 2π]) with periodic… read more here.
Keywords: finite delay; well posedness; order differential; third order ... See more keywords
Asymptotic Behavior of the Solutions of Essentially Nonlinear Second-Order Differential Equations
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DOI: 10.1007/s10958-017-3350-3
Abstract: For a two-term second-order differential equation with regularly and rapidly varying nonlinearities, we study the asymptotic behavior of a class of solutions as t ↑ ω (ω ≤ +∞). read more here.
Keywords: asymptotic behavior; second order; solutions essentially; behavior solutions ... See more keywords
Asymptotics of the Solutions of Second-Order Differential Equations with Regularly and Rapidly Varying Nonlinearities
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DOI: 10.1007/s10958-019-04546-w
Abstract: We establish conditions for the existence of a class of monotone solutions of the second-order differential equations with regularly and rapidly varying nonlinearities and the asymptotic representations of these solutions as t ↑ ω (ω… read more here.
Keywords: solutions second; equations regularly; second order; regularly rapidly ... See more keywords
Formula for Regularized Trace of a Second Order Differential Operator with Involution
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DOI: 10.1007/s10958-020-05126-z
Abstract: We study a second order differential operator with involution and periodic boundary conditions. We prove a formula for the regularized trace, study the asymptotic behavior of eigenvalues, and obtain an estimate for deviations of spectral… read more here.
Keywords: differential operator; second order; operator involution; formula regularized ... See more keywords
Asymptotic Representations of Rapidly Varying Solutions of Second-Order Differential Equations with Rapidly and Regularly Varying Nonlinearities
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DOI: 10.1007/s10958-021-05210-y
Abstract: We establish necessary and sufficient conditions for the existence of Pω (Y0 ,Y1, λ0)-solutions of one class of second-order differential equations with rapidly and regularly varying nonlinearities. This result is a natural generalization of the… read more here.
Keywords: order differential; order; rapidly regularly; differential equations ... See more keywords
Estimating soil organic carbon density in Northern China’s agro-pastoral ecotone using vis-NIR spectroscopy
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DOI: 10.1007/s11368-020-02668-2
Abstract: Traditional soil organic carbon density (SOCD) measurement is time-consuming and costly, from field sampling to laboratory analysis. However, visible to near-infrared reflectance (vis-NIR) spectroscopy can rapidly estimate SOCD and thereby permit rapid, inexpensive measurements that… read more here.
Keywords: vis nir; china agro; spectroscopy; northern china ... See more keywords
Necessary and sufficient condition for oscillation of nonlinear neutral first-order differential equations with several delays
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DOI: 10.1007/s11784-018-0506-9
Abstract: In this work, necessary and sufficient conditions for oscillations of the solutions of a class of nonlinear neutral first-order differential equations with several delays of the form $$\begin{aligned} \frac{\mathrm {d}}{\mathrm {d}t}[x(t)+r(t)x(t-\tau )]+ \sum _{i=1}^m \phi… read more here.
Keywords: first order; nonlinear neutral; neutral first; necessary sufficient ... See more keywords