Random integral equations with applications to life sciences and engineering
From MaRDI portal
Publication:1846310
zbMath0287.60065MaRDI QIDQ1846310
W. J. Padgett, Chris P. Tsokos
Publication date: 1974
Published in: Mathematics in Science and Engineering (Search for Journal in Brave)
Other nonlinear integral equations (45G10) Stochastic stability in control theory (93E15) Stochastic integral equations (60H20) Research exposition (monographs, survey articles) pertaining to probability theory (60-02)
Related Items (only showing first 100 items - show all)
Bi-additive \(\sigma \)-random operator inequalities and random quasi-\(*\)-multipliers on MB-algebras ⋮ On controllability for a class of multi-term time-fractional random differential equations with state-dependent delay ⋮ Explosion and asymptotic behavior of nonlinear Itô type stochastic integrodifferential equations ⋮ Parametrization of all linear compensators for discrete-time stochastic parameter systems ⋮ Stability of a class of stochastic differential systems ⋮ ON THE SOLUTION OF STOCHASTIC DIFFERENTIAL AND INTEGRAL EQUATIONS USING AN LpCALCULUS AND A STOCHASTIC GREEN'S FORMULA ⋮ System of boundary random fractional differential equations via Hadamard derivative ⋮ Random fixed point theorem in generalized Banach space and applications ⋮ Operator and integro-differential representations of conditional and unconditional stochastic subsurface flow ⋮ Existence and controllability results for second-order impulsive stochastic evolution systems with state-dependent delay ⋮ Random directional contractors and their applications ⋮ On the wave propagation in unbounded random media ⋮ On existence,asymptotic behaviour and stability of solutions of stochastic integral equations ⋮ On random variational inequalities ⋮ Existence results for random fractional differential equations ⋮ Functional Differential Equations With Delay and Random Effects ⋮ Random integrodifferential equations of Volterra type with delay: attractiveness and stability ⋮ Approximating the solutions of random Fredholm integral equations ⋮ Existence and comparison results of solutions for nonlinear random integral and differential equations relative to weak topology ⋮ Numerical solution of a system of random Volterra integral equations. I: Successive approximation method ⋮ Theorems of Fubini Type for Iterated Stochastic Integrals ⋮ Existence theorems of random solutions to stochastic functional integral equations ⋮ Solutions for a system of nonlinear random integral and differential equations ⋮ A stochastic model for BOD and DO with random initial conditions and distance dependent velocity ⋮ Numerical solutions of stochastic Volterra-Fredholm integral equations by hybrid Legendre block-pulse functions ⋮ Stability of a class of stochastic distributed parameter systems with random boundary conditions ⋮ Error estimates and stability of itô-type systems of nonlinear stochastic integro-differential equations ⋮ Invertibility of random fredholm operators ⋮ Random fixed point theorems under weak topology features and application to random integral equations with lack of compactness ⋮ A stochastic operational matrix method for numerical solutions of multi-dimensional stochastic Itô-Volterra integral equations ⋮ Existence theory for a class of nonlinear random functional integral equations ⋮ Random contractors with random nonlinear majorant functions ⋮ Differential inclusions with state constraints ⋮ Impulsive stochastic Volterra integral equations driven by Lévy noise ⋮ Solutions for a system of nonlinear random integral and differential equations under weak topology ⋮ On the existence and uniqueness of solutions of stochastic integral equations of the Volterra type ⋮ Fractional partial random differential equations with state-dependent delay ⋮ Topological methods for the study of nonlinear mixed stochastic integral equations ⋮ Using Bernstein multi-scaling polynomials to obtain numerical solution of Volterra integral equations system ⋮ Controllability of second order semilinear random differential equations in Fréchet spaces ⋮ Stochastic Volterra integral equations with jumps and the strong superconvergence of the Euler-Maruyama approximation ⋮ Risk-neutral multiobjective optimal control of random Volterra integral equations ⋮ Controllability of fractional stochastic delay equations ⋮ Improved \(\vartheta\)-methods for stochastic Volterra integral equations ⋮ Coupled Hilfer fractional differential systems with random effects ⋮ Generalized inverses of random linear operators in Banach spaces ⋮ Statistical moments for solutions of non-linear scalar equations with random Riemann data ⋮ Corrections to Probabilistic analysis of numerical methods for integral equations ⋮ Some existence results for systems of impulsive stochastic differential equations ⋮ On a random volterra integral inclusion in banach spaces∗ ⋮ Random multistage input and energy partition approach to the description of cavitation erosion process ⋮ Existence and uniquenes results for systems of impulsive functional stochastic differential equations driven by fractional Brownian motion with multiple delay ⋮ Some existence results and stability concepts for partial fractional random integral equations with multiple delay ⋮ Nonlinear Volterra integrodifferential evolution inclusions and optimal control ⋮ Strong superconvergence of the Euler-Maruyama method for linear stochastic Volterra integral equations ⋮ On a class of nonlinear stochastic integral equations ⋮ A combination method for numerical solution of the nonlinear stochastic Itô-Volterra integral equation ⋮ Random semilinear system of differential equations with impulses ⋮ A fractional Bihari inequality and some applications to fractional differential equations and stochastic equations ⋮ Projection iterative approximations for a new class of general random implicit quasi-variational inequalities ⋮ Fixed point theorems in probabilistic analysis ⋮ Some deterministic and random fixed point theorems on a graph ⋮ Random contractors and the solution of random nonlinear equations ⋮ Random fuzzy fractional integral equations -- theoretical foundations ⋮ Existence, uniqueness and approximation of solutions for a system of nonlinear random operator equations ⋮ Existence of solutions of nonlinear stochastic Volterra Fredholm integral equations of mixed type ⋮ Set-valued and fuzzy stochastic integral equations driven by semimartingales under Osgood condition ⋮ A stochastic model for stream pollution ⋮ Solution of random operator equations by random step-contractors ⋮ Modelling the non-linear stochastic characteristics of EMG/tension relationship ⋮ Random fixed point theorems and applications to random first-order vector-valued differential equations ⋮ On a nonlinear stochastic integral equation with application to control systems ⋮ Method of moments approximate solutions of random linear integral equations ⋮ \(L^p(R_0)\;(p\geq 1)\) stability in the mean \(m(m\geq 1)\) of a class of stochastic Volterra integral equations ⋮ Solution of nonlinear fractional stochastic integro-differential equation ⋮ On solutions of general nonlinear stochastic integral equations ⋮ Existence results for systems of coupled impulsive neutral functional differential equations driven by a fractional Brownian motion and a Wiener process ⋮ A general stochastic fixed-point theorem for continuous random operators on stochastic domains ⋮ Existence results for a class of random delay integrodifferential equations ⋮ Random evolutions and stochastic compartments ⋮ On fractional random differential equations with delay ⋮ A Petrov-Galerkin finite element method using polyfractonomials to solve stochastic fractional differential equations ⋮ Numerical solution of stochastic Itô-Volterra integral equations based on Bernstein multi-scaling polynomials ⋮ Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian motion ⋮ Probability transformation method for the evaluation of derivative, integral and Fourier transform of some stochastic processes ⋮ On a class of semilinear stochastic systems in mechanics with quadratic- type nonlinearities: Time evolution of the probability density ⋮ Numerical solution of systems of random differential equations with Gaussian statistics ⋮ Existence results for second-order stochastic differential inclusions driven by Lévy noise ⋮ Coupled fractional differential systems with random effects in Banach spaces ⋮ Approximate controllability of second-order stochastic distributed implicit functional differential systems with infinite delay ⋮ Coupled system of second-order stochastic neutral differential inclusions driven by Wiener process and Poisson jumps ⋮ The local linearization method for numerical integration of random differential equations ⋮ Statistical Modeling of a Pharmacokinetic System ⋮ Nonlinear random equations involving operators of type (M) ⋮ Approximate solution of random integral equations: General methods ⋮ A Neumann expansion approach to flow through heterogeneous formations ⋮ Roots of the discrete solution of first kind volterra equations ⋮ Criteria for the existence of solutions to random integral and differential equations ⋮ Probabilistic analysis of numerical methods for integral equations ⋮ On existence and asymptotic behaviour of solutions of a nonlinear stochastic integral equation
This page was built for publication: Random integral equations with applications to life sciences and engineering