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First-Order Modal Semantics and Existence Predicate
Bulletin of the Section of Logic, 2022 In the article we study the existence predicate \(\varepsilon\) in the context of semantics for first-order modal logic. For a formula \(\varphi\) we define \(\varphi^{\varepsilon}\) - the so called existence relativization. We point to a gap in the work
Patryk Michalczenia
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Existence of solutions for 4p-order PDES
Moroccan Journal of Pure and Applied Analysis, 2022 In this paper, we study the following nonlinear eigenvalue problem: {Δ2pu=λm(x)u in Ω,u=Δu=…Δ2p−1u=0 on ∂Ω.\left\{ {\matrix{ {{\Delta ^{2p}}u = \lambda m\left( x \right)u\,\,\,in\,\,\Omega ,} \cr {u = \Delta u = \ldots {\Delta ^{2p - 1}}u =
Moradi F. +3 more
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Existence of meromorphic solutions of first order difference equations [PDF]
Constructive Approximation, 2018 It is shown that if It is shown that if \begin{equation}\label{abstract_eq} f(z+1)^n=R(z,f),\tag{\dag} \end{equation} where $R(z,f)$ is rational in $f$ with meromorphic coefficients and $\deg_f(R(z,f))=n$, has an admissible meromorphic solution ...
Korhonen, Risto, Zhang, Yueyang
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Existence of Nontrivial Solutions for Sixth-Order Differential Equations
Mathematics, 2021 We show the existence of at least one nontrivial solution for a nonlinear sixth-order ordinary differential equation is investigated. Our approach is based on critical point theory.
Gabriele Bonanno +2 more
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Existence and uniqueness for a semilinear sixth-order ODE
Electronic Journal of Qualitative Theory of Differential Equations, 2022 By using variational methods and maximum principles we discuss the existence, uniqueness and multiplicity of solutions for a semilinear sixth-order ODE. The main difference between our work and other related papers is that we treat a general case and we
Cristian-Paul Danet
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First order difference system- existence and uniqueness [PDF]
Proceedings of the American Mathematical Society, 1997 Let us consider the matrix difference system \[ T(n+1)=A(n)T(n)B(n)+F(n), \tag{1} \] where \(A(n)\), \(B(n)\) and \(F(n)\) are square matrices whose elements are real or complex functions of integer arguments. In the first part of the paper the general solution of (1) in terms of two fundamental matrix solutions of the systems \(T(n+1)=A(n)T(n)\) and \(
Murty, K. N. +2 more
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Existence theory of fractional order three-dimensional differential system at resonance
Mathematical Modelling and Control, 2023 This paper deals with three-dimensional differential system of nonlinear fractional order problem $ \begin{align*} D^{\alpha}_{0^{+}}\upsilon(\varrho) = f(\varrho,\omega(\varrho),\omega^{\prime}(\varrho),\omega^{\prime\prime}(\varrho),...,\omega ...
M. Sathish Kumar +3 more
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Existence of small ordered orthogonal arrays
Journal of Combinatorial Designs, 2023 AbstractWe show that there exist ordered orthogonal arrays, whose sizes deviate from the Rao bound by a factor that is polynomial in the parameters of the ordered orthogonal array. The proof is nonconstructive and based on a probabilistic method due to Kuperberg, Lovett and Peled.
Kai‐Uwe Schmidt, Charlene Weiß
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Higher Order Factors of Personality: Do They Exist? [PDF]
Personality and Social Psychology Review, 2009 Scales that measure the Big Five personality factors are often substantially intercorrelated. These correlations are sometimes interpreted as implying the existence of two higher order factors of personality. The authors show that correlations between measures of broad personality factors do not necessarily imply the existence of higher order factors ...
Ashton, M.C. +3 more
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Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications [PDF]
, 2018 We study the $\Gamma$-convergence of damage to fracture energy functionals in the presence of low-order nonlinear potentials that allows us to model physical phenomena such as fluid-driven fracturing, plastic slip, and the satisfaction of kinematical ...
Caroccia, Marco, Van Goethem, Nicolas
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