Results 21 to 30 of about 383,985 (166)
On the solution set of a two point boundary value problem [PDF]
Surveys in Mathematics and its Applications, 2008 We consider a nonconvex and nonclosed second order differential inclusion with nonlocal boundary conditions and we prove the arcwise connectedness of the solution set.
Aurelian Cernea
doaj
Existence of Solutions for Some Coupled Systems of Fractional Differential Inclusions
Mathematics, 2020 We study two coupled systems of nonconvex fractional differential inclusions with certain nonlocal boundary conditions and we prove the existence of solutions in the case when the set-valued maps are Lipschitz in the state variables.
Aurelian Cernea
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Measure Driven Differential Inclusions
Journal of Mathematical Analysis and Applications, 1996 The authors discuss the concept of robust solution to the measure driven differential inclusion \[ dx(t)\in F(t,x(t))dt+ G(t,x(t))\mu(dt)\quad\text{on }[0,1],\;x(0)=b. \] Here, \(F\) and \(G\) are given multivalued mappings, the initial value \(b\) is a given point in \(\mathbb{R}^n\), and \(\mu\) is some nonnegative scalar-valued measure on the Borel ...
Silva, G.N., Vinter, R.B.
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On a Bagley-Torvik fractional integro-differential inclusion [PDF]
Surveys in Mathematics and its Applications, 2019 Existence of solutions for a Bagley-Torvik fractional integro-differential inclusion is investigated in the case when the values of the set-valued map are not convex.
Aurelian Cernea
doaj
Fixed-time synchronization of quaternion-valued BAM neural networks
Nantong Daxue xuebao. Ziran kexue ban, 2023 The bidirectional associative memory(BAM) neural networks is extended to the quaternion domain and a new type of quaternion-valued bidirectional associative memory neural networks(QVBAMNNs) is proposed.
SHI Yuchen; WEI Ruoyu
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Existence and multiplicity for degenerate fractional Kirchhoff problems with nonsmooth potential
Electronic Journal of Qualitative Theory of Differential EquationsThis paper investigates a class of nonlocal variable-order fractional $p(\cdot)$-Kirchhoff type equations with nonsmooth nonlinearities \[ \begin{cases} \mathscr{M}\left(\int_{\mathbb{R}^{2N}}\frac{|u(x)-u(y)|^{p(x,y)}}{p(x,y)|x-y|^{N+s(x,y)p(x,y)}}{\rm
Ziqing Yuan
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On a second-order evolution inclusion [PDF]
Results in Nonlinear Analysis, 2018 We study a class of second-order evolution inclusions and we obtain a sufficient condition for f-local controllability along a reference trajectory.
Aurelian Cernea
doaj
A relaxation theorem for a differential inclusion with “maxima”
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 We consider a Cauchy problem associated to a nonconvex differential inclusion with “maxima” and we prove a Filippov type existence result. This result allows to obtain a relaxation theorem for the problem considered.
Cernea Aurelian
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Viability of fractional differential inclusions
Applied Mathematics Letters, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ovidiu Cârja +3 more
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Minmax via Differential Inclusion [PDF]
SSRN Electronic Journal, 2005 Summary: The asymptotic behavior of the solution of a differential inclusion provides a simple proof of a minmax theorem.
Lehrer, Ehud, Sorin, Sylvain
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