Results 101 to 110 of about 502,735 (301)
On integro-differential equations in Banach spaces [PDF]
INTEGRO-DIFFERENTIAL EQUATIONS 101 2* Existence and uniqueness of a strong solution of the homogeneous problem (I)* Let A be a closed linear operator on a Banach space X to itself with domain &(A) dense in 36 and let @(3£) be the Banach algebra of all bounded linear transformations on X to itself.
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On oscillation of integro-differential equations
We study the oscillatory behavior of solutions for integro-differential equations of the form $$x'(t) = e(t) -\int_0^t (t-s)^{\alpha-1}k(t, s)f(s, x(s))\, {\rm ds},\quad t\geq 0,$$ where ...
Agacik Zafer, Said R. Grace
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The boundary‐regulated distributed parameter system of an axial dispersion tubular reactor with delayed recycle is showcased, along with the optimal observer‐based control strategy developed using a late‐lumping method for its stabilization. Abstract The optimal control of an axial tubular reactor with a recycle stream is addressed as a key type of ...
Behrad Moadeli+2 more
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On the existence of solutions of a three steps crisis integro-differential equation
There are many natural phenomena including a crisis (such as a spate or contest) which could be described in three steps. We investigate the existence of solutions for a three step crisis integro-differential equation.
D. Baleanu+3 more
semanticscholar +1 more source
ABSTRACT In bio‐social models, cooperative behavior has evolved as an adaptive strategy, playing multi‐functional roles. One of such roles in populations is to increase the success of the survival and reproduction of individuals and their families or social groups.
Sangeeta Saha+2 more
wiley +1 more source
Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators
ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
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This paper describes a novel numerical approach to find the statistics of the non-stationary response of scalar non-linear systems excited by L\'evy white noises.
Cottone G Di Paola M Marino F+14 more
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Chromoelectric oscillations in a dynamically evolving anisotropic background
We study the oscillations of a uniform longitudinal chromoelectric field in a dynamically-evolving momentum-space anisotropic background in the weak field limit.
K. Huang+3 more
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Solusi Polinomial Persamaan Integro-diferensial Fredholm Linear dengan Koefisien Konstan [PDF]
This paper discusses how to obtain a polynomial solution of linear Fredhlom integrodifferential equation with constant coefficients using a matrix method.
Syamsudhuha, S. (Syamsudhuha)+2 more
core
Gevrey regularity for integro-differential operators
We prove for some singular kernels $K(x,y)$ that viscosity solutions of the integro-differential equation $\int_{\mathbb{R}^n} \left[u(x+y)+u(x-y)-2u(x)\right]\,K(x,y)dy=f(x)$ locally belong to some Gevrey class if so does $f$.
Albanese, Guglielmo+2 more
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