Nontrivial Solutions of Systems of Hammerstein Integral Equations with First Derivative Dependence
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DOI: 10.1007/s00009-017-1044-1
Abstract: By means of classical fixed point index, we prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for systems of Hammerstein integral equations where the nonlinearities are allowed to depend on… read more here.
Keywords: nontrivial solutions; solutions systems; first derivative; hammerstein integral ... See more keywords
On the Existence in the Sense of Sequences of Stationary Solutions for Some Systems of Non-Fredholm Integro-differential Equations
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DOI: 10.1007/s00009-018-1248-z
Abstract: We prove the existence in the sense of sequences of stationary solutions for some systems of reaction–diffusion type equations in the appropriate $$H^{2}$$H2 spaces. It is established that, under reasonable technical conditions, the convergence in… read more here.
Keywords: stationary solutions; solutions systems; existence sense; sense sequences ... See more keywords
Almost Periodic Solutions for Systems with Delay and Nonfixed Times of Impulsive Actions
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DOI: 10.1007/s11253-017-1320-z
Abstract: We study the existence and asymptotic stability of piecewise continuous almost periodic solutions for systems of differential equations with delay and nonfixed times of impulsive actions that can be regarded as mathematical models of neural… read more here.
Keywords: periodic solutions; solutions systems; delay nonfixed; times impulsive ... See more keywords
Existence of solutions for systems arising in electromagnetism
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DOI: 10.1016/j.jmaa.2020.123898
Abstract: Abstract In this paper, we study the following p ( x ) -curl systems: { ∇ × ( | ∇ × u | p ( x ) − 2 ∇ × u ) + a… read more here.
Keywords: electromagnetism; existence; solutions systems; arising electromagnetism ... See more keywords
Finding sets of solutions to systems of nonlinear inequalities
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DOI: 10.1134/s0965542517080073
Abstract: The problem of approximating the set of all solutions to a system of nonlinear inequalities is studied. A method based on the concept of nonuniform coverings is proposed. It allows one to obtain an interior… read more here.
Keywords: sets solutions; nonlinear inequalities; solutions systems; finding sets ... See more keywords
The Inverse Tangent Law for the solutions of systems of linear algebraic equations with independent random coefficients
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DOI: 10.1515/rose-2018-0010
Abstract: Abstract The Inverse Tangent Law for the solutions of systems of linear algebraic equations with independent random coefficients is proven under Lindeberg’s condition. read more here.
Keywords: tangent law; solutions systems; inverse tangent; linear algebraic ... See more keywords