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Conditions for the solvability of the Cauchy problem for linear first-order functional differential equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2013 Conditions for the unique solvability of the Cauchy problem for a family of scalar functional differential equations are obtained. These conditions are sufficient for the solvability of the Cauchy problem for every equation from the family and are ...
Eugene Bravyi
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METODE ALTERNATIF DALAM MENENTUKAN SOLUSI PARTIKULAR PERSAMAAN EULER-CAUCHY
Barekeng, 2021 Euler-Cauchy equation is the typical example of a linear ordinary differential equation with variable coefficients. In this paper, we apply the alternative method to determine the particular solution of Euler-Cauchy nonhomogenous with polynomial and ...
Mariatul Kiftiah +2 more
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Analytic Solutions of Equation for Random Evolution on a Complex Plane
Austrian Journal of Statistics, 2023 We discuss a generalization of Goldstein-Kac model on a complex plane and apply probabilistic approach to construct solutions of the corresponding Cauchy problem for complex-analytic initial conditions.
Igor Samoilenko +2 more
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Journal of Mathematics, 2022 The Quasi-Reversibility Regularization Method (Q-RRM) provides stable approximate solution of the Cauchy problem of the Helmholtz equation in the Hilbert space by providing either additional information in the Laplace-type operator in the Helmholtz ...
Benedict Barnes +3 more
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Ultra-analytic effect of Cauchy problem for a class of kinetic equations [PDF]
, 2009 The smoothing effect of the Cauchy problem for a class of kinetic equations is studied. We firstly consider the spatially homogeneous non linear Landau equation with Maxwellian molecules and inhomogeneous linear Fokker-Planck equation to show the ultra ...
Morimoto, Yoshinori, Xu, Chao-Jiang
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016 In the paper the problem of Cauchy is considered for the hyperbolic differential equation of the n-th order with the nonmultiple characteristics. The Cauchy problem is considered for the hyperbolic differential equation of the third order with the ...
Aleksandr A Andreev, Julia O Yakovleva
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Nonlinear Dirac operator and quaternionic analysis [PDF]
, 2007 Properties of the Cauchy-Riemann-Fueter equation for maps between quaternionic manifolds are studied. Spaces of solutions in case of maps from a K3-surface to the cotangent bundle of a complex projective space are computed.
A. Maciocia +16 more
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 We consider the Cauchy problem for the hyperbolic differential equation of the forth order with nonmultiple characteristics. We generalize this problem from the similar Cauchy problem for the hyperbolic differential equation of the third order with ...
Aleksandr A Andreev, Julia O Yakovleva
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Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem
Universal Journal of Mathematics and Applications, 2020 In this paper, we study the existence and uniqueness of Generalized Fractional Cauchy-type problem involving Hilfer-Hadamard-type fractional derivative for a nonlinear fractional differential equation.
Ahmad Y. A. Salamoonı, D.d. Pawar
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A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation
Abstract and Applied Analysis, 2012 We find out the general solution of a generalized Cauchy-Jensen functional equation and prove its stability. In fact, we investigate the existence of a Cauchy-Jensen mapping related to the generalized Cauchy-Jensen functional equation and prove its ...
Jae-Hyeong Bae, Won-Gil Park
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