On the linearization of Volterra integral equations
Volterra integral equations linearization, discussing integral kernels, integrodifferential equations and reactor ...
openaire +2 more sources
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.
openaire +4 more sources
An integral equation of Volterra type with additional compact operator in Banach space is considered. A special case is an integral equation of contact problem that arises in theory of viscoelasticity of mixed Fredholm and Volterra type with spectral ...
Onur Alp İlhan
doaj +1 more source
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
doaj +1 more source
Existence of resolvent for conformable fractional Volterra integral equations [PDF]
In this paper, we consider the conformable fractional Volterra integral equation. We study the existence of a resolvent kernel corresponding to conformable fractional Volterra integral equation.
Bukhsh, Khizra+2 more
core +1 more source
Runge-Kutta and Block by Block Methods to Solve Linear Two-Dimensional Volterra Integral Equation with Continuous Kernel [PDF]
In this paper, the existence and uniqueness of solution of the linear two dimensional Volterra integral equation of the second kind with Continuous Kernel are discussed and proved.RungeKutta method(R.
AL-Bugami, Abeer Majed
core +1 more source
Uniform Asymptotic Stability of a PDE'S System Arising From a Flexible Robotics Model
ABSTRACT In this paper, we investigate the uniform asymptotic stability of a fourth‐order partial differential equation with a fading memory forcing term and boundary conditions arising from a flexible robotics model. To achieve this goal, the model is reformulated in an abstract framework using the C0$$ {C}_0 $$‐semigroup theory.
Tiziana Cardinali+2 more
wiley +1 more source
Inferring community assembly processes from mangrove species–area relationships
The increasing species–area relationship (SAR) is a nearly universal ecological law. But recent theory has predicted that in systems with low large‐scale diversity the law should be violated and the SAR should be nearly flat at intermediate scales, with species richness roughly constant at some value typically greater than one.
Ryan A. Chisholm+3 more
wiley +1 more source
On Some Classes of Linear Volterra Integral Equations
The sufficient conditions are obtained for the existence and uniqueness of continuous solution to the linear nonclassical Volterra equation that appears in the integral models of developing systems.
Anatoly S. Apartsyn
doaj +1 more source
Impulsive perturbations to differential equations: stable/unstable pseudo-manifolds, heteroclinic connections, and flux [PDF]
State-dependent time-impulsive perturbations to a two-dimensional autonomous flow with stable and unstable manifolds are analysed by posing in terms of an integral equation which is valid in both forwards- and backwards-time.
Balasuriya, Sanjeeva
core +2 more sources