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A closed form approximation and error quantification for the response transition probability density function of a class of stochastic differential equations

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References

2006Stochastic Differential Equations—An Introduction With Applications1,648 cited
1976Probabilistic Theory of Structural Dynamics1,398 cited
2009Stochastic Dynamics of Structures923 cited
1990Random vibration and statistical linearization822 cited
1986Stochastic averaging: An approximate method of solving random vibration problems577 cited
2002Stochastic Calculus: Applications in Science and Engineering345 cited
1993Response statistics of nonlinear, compliant offshore structures by the path integral solution method187 cited
2011An analytical Wiener path integral technique for non-stationary response determination of nonlinear oscillators181 cited
1988Structural Response Variability II130 cited
2014Stochastic response determination of nonlinear oscillators with fractional derivatives elements via the Wiener path integral128 cited
1987Structural Response Variability128 cited
2015An Efficient Wiener Path Integral Technique Formulation for Stochastic Response Determination of Nonlinear MDOF Systems86 cited
2016Statistical Linearization of Nonlinear Structural Systems with Singular Matrices39 cited
2017A Wiener Path Integral Solution Treatment and Effective Material Properties of a Class of One-Dimensional Stochastic Mechanics Problems37 cited

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2019An approximate technique for determining in closed form the response transition probability density function of diverse nonlinear/hysteretic oscillators11 cited