Results 21 to 30 of about 1,145 (256)
Journal of Inequalities and Applications, 2020 In the paper we study the question of solvability and unique solvability of systems of the higher-order functional differential equations u i ( m i ) ( t ) = ℓ i ( u i + 1 ) ( t ) + q i ( t ) ( i = 1 , n ‾ ) for t ∈ I : = [ a , b ] $$ u_{i}^{(m_{i})}(t)
Sulkhan Mukhigulashvili, Bedřich Půža
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Fuzzified Matrix Space and Solvability of Matrix Equations
AxiomsA fuzzified matrix space consists of a collection of matrices with a fuzzy structure, modeling the cases of uncertainty on the part of values of different matrices, including the uncertainty of the very existence of matrices with the given values.
Vanja Stepanović, Andreja Tepavčević
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Symmetric nonlinear functional differential equations at resonance
Electronic Journal of Qualitative Theory of Differential Equations, 2019 It is shown that a class of symmetric solutions of the scalar nonlinear functional differential equations at resonance with deviations from $\mathbb{R}\to\mathbb{R}$ can be investigated by using the theory of boundary-value problems.
Natalia Dilna +3 more
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Unique solvability of an extended Stieltjes moment problem [PDF]
Proceedings of the American Mathematical Society, 1988 Let a 1 ,
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Inverse problem for nonlinear partial differential equation with high order pseudoparabolic operator
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 We consider the questions of generalized solvability of inverse problem for nonlinear partial differential equations with high order pseudoparabolic operator by method of separation of variables.
Tursun K Yuldashev
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On a Nonlocal Problem for the Nonhomogeneous Boussinesq Type Integro-Differential Equation with Degenerate Kernel [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2017 This paper considers the questions of solvability and constructing the solution of a nonlocal boundary value problem for the fourth-order Boussinesq type nonhomogeneous partial integro-differential equation with degenerate kernel.
T.K. Yuldashev
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On Local Unique Solvability for a Class of Nonlinear Identification Problems
Axioms, 2023 Nonlinear identification problems for evolution differential equations, solved with respect to the highest-order Dzhrbashyan–Nersesyan fractional derivative, are studied. An equation of the considered class contains a linear unbounded operator, which generates analytic resolving families for the corresponding linear homogeneous equation, and a ...
Vladimir E. Fedorov +2 more
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Karpatsʹkì Matematičnì Publìkacìï, 2020 In this paper, we consider the inverse problem for semilinear ultraparabolic equation. The equation has two unknown functions of different arguments in its minor coefficient and in right-hand side function.
N.P. Protsakh, V.M. Flyud
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Fractal and Fractional, 2022 In this paper, we introduce a new fractional-in-space modified phase-field crystal equation based on the L2-gradient flow approach, where the mass of atoms is conserved by using a nonlocal Lagrange multiplier.
Hyun Geun Lee
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Uniquely Solvable Problems for Abstract Legendre Equation [PDF]
Russian Mathematics, 2018 Let \(A\) be a closed operator in a Banach space \(E\) with dense domain \(D(A)\) and suppose that \(A\) is the generator of a cosine operator family. Consider in \(E\) an abstract weakly loaded Legendre equation under the form \[ u''(t)+ k\coth(t)\left(u'(t)-\frac{\cosh^{2-k}(t/2)}{\cosh t} u'(0)\right)+\frac{k^2}{4}u(t)=Au(t) \] for \(t>0\).
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