Linear Functional Equations with 𝔇H-Unstable Solutions
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DOI: 10.1007/s10958-021-05228-2
Abstract: We establish conditions for the absolute instability of solutions of linear functional equations with self-adjoint operator coefficients. read more here.
Keywords: equations unstable; unstable solutions; linear functional; solutions linear ... See more keywords
Solutions of the linear and nonlinear differential equations within the generalized fractional derivatives.
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DOI: 10.1063/1.5084035
Abstract: The main goal of this work is to find the solutions of linear and nonlinear fractional differential equations with the Mittag-Leffler nonsingular kernel. An accurate numerical method to search this problem has been constructed. The… read more here.
Keywords: linear nonlinear; nonlinear differential; equations within; within generalized ... See more keywords
Stability of solutions to linear impulsive systems of Itô differential equations with aftereffect with respect to initial data in part of variables
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DOI: 10.1134/s0012266117010037
Abstract: The method of model equations is used to study the moment stability of solutions to linear impulsive systems of Itô differential equations with aftereffect with respect to initial data in part of variables. Sufficient conditions… read more here.
Keywords: systems differential; stability solutions; linear impulsive; differential equations ... See more keywords
Bounded and periodic solutions to the linear first-order difference equation on the integer domain
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DOI: 10.1186/s13662-017-1350-8
Abstract: The existence of bounded solutions to the linear first-order difference equation on the set of all integers is studied. Some sufficient conditions for the existence of solutions converging to zero when n→−∞$n\to -\infty$, as well… read more here.
Keywords: difference; first order; order difference; equation ... See more keywords
On solutions of linear fractional differential equations and systems thereof
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DOI: 10.1515/fca-2019-0028
Abstract: Abstract We derive exact solutions to classes of linear fractional differential equations and systems thereof expressed in terms of generalized Wright functions and Fox H-functions. These solutions are invariant solutions of diffusion-wave equations obtained through… read more here.
Keywords: systems thereof; equations systems; linear fractional; fractional differential ... See more keywords
Polynomial solutions to linear PDEs with constant coefficients
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DOI: 10.1515/gmj-2019-2017
Abstract: Abstract In this note we are concerned with the question: When are the polynomial solutions to a system of linear constant coefficient PDEs dense in the set of all its solutions? read more here.
Keywords: constant coefficients; pdes constant; polynomial solutions; linear pdes ... See more keywords
Constant Sign Solutions to Linear Fractional Integral Problems and Their Applications to the Monotone Method
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DOI: 10.3390/math8020156
Abstract: This manuscript provides some results concerning the sign of solutions for linear fractional integral equations with constant coefficients. This information is later used to prove the existence of solutions to some nonlinear problems, together with… read more here.
Keywords: solutions linear; constant sign; integral problems; sign solutions ... See more keywords