On Double Summability of Double Conjugate Fourier Series by H. K. Nigam, Kusum Sharma

“…For the first time, a theorem on double matrix summability of double conjugate Fourier series is established.…”
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On stability and boundedness of solutions of a certain fourth-order delay differential equation by Emmanuel O. Okoronkwo

“…Using a Razumikhin - type theorem, we deduce sufficient conditions that guarantee the uniform asymptotic stability and boundedness of solutions of a scalar real fourth-order delay differential equation. …”
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On a Class of Schrödinger System Problem in Orlicz–Sobolev Spaces by H. El-Houari, L. S. Chadli, H. Moussa

“…Using the mountain pass theorem, we obtain the existence of a nontrivial and nonnegative weak solution of a quasi-linear Schrödinger system driven by the ω⋅-Laplacian operator in Orlicz–Sobolev spaces.…”
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Bessel Transform of -Bessel Lipschitz Functions by Radouan Daher, Mohamed El Hamma

“…Using a generalized translation operator, we obtain an analog of Theorem 5.2 in Younis (1986) for the Bessel transform for functions satisfying the -Bessel Lipschitz condition in .…”
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On the Carleman classes of vectors of a scalar type spectral operator by Marat V. Markin

“…The Carleman classes of a scalar type spectral operator in a reflexive Banach space are characterized in terms of the operator's resolution of the identity. A theorem of the Paley-Wiener type is considered as an application.…”
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Compactness in Wiener amalgams on locally compact groups by S. S. Pandey

“…We study the compactness of bounded subsets in a Wiener amalgam whose local and global components are solid Banach function (BF) spaces on a locally compact group. Our main theorem provides a generalization of the corresponding results of Feichtinger. …”
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Weakly compatible maps in 2-non-Archimedean Menger PM-spaces by Renu Chugh, Sanjay Kumar

“…The aim of this paper is to introduce the concept of weakly compatible maps in 2-non-Archimedean Menger probabilistic metric (PM) spaces and to prove a theorem for these mappings without appeal to continuity. …”
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Existence of positive periodic solution of a periodic cooperative model with delays and impulses by Yongkun Li, Wenya Xing

“…Sufficient conditions are obtained for the existence of at least one positive periodic solution of a periodic cooperative model with delays and impulses by using Mawhin's continuation theorem of coincidence degree theory.…”
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Divisibility Criteria for Class Numbers of Imaginary Quadratic Fields Whose Discriminant Has Only Two Prime Factors by A. Pekin

“…We will prove a theorem providing sufficient condition for the divisibility of class numbers of certain imaginary quadratic fields by 2g, where g>1 is an integer and the discriminant of such fields has only two prime divisors.…”
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Existence and uniqueness of solutions for a class of infinite-horizon systems derived from optimal control by Lianwen Wang

“…An existence and uniqueness theorem is proved for such Hamiltonian systems under some natural assumptions.…”
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Bifurcation of Positive Solutions for a Class of Boundary Value Problems of Fractional Differential Inclusions by Yansheng Liu, Huimin Yu

“…Using Krein-Rutman theorem, topological degree theory, and bifurcation techniques, this paper investigates the existence of positive solutions for a class of boundary value problems of fractional differential inclusions.…”
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Positive Solutions to Periodic Boundary Value Problems of Nonlinear Fractional Differential Equations at Resonance by Lei Hu

“…By Leggett-Williams norm-type theorem for coincidences due to O’Regan and Zima, we discuss the existence of positive solutions to fractional order with periodic boundary conditions at resonance. …”
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On fixed points of set-valued directional contractions by Sehie Park

“…Using equivalent formulations of Ekeland's theorem, we improve fixed point theorems of Clarke, Sehgal, Sehgal-Smithson, and Kirk-Ray on directional contractions by giving geometric estimations of fixed points.…”
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On two new characterizations of Steiltjes transforms for distributions by Sunil Kumar Sinha

“…., dilation Un and exponential shifts T−p. The standard theorem on analyticity, uniqueness and invertibility of the Stieltjes transform are proved, using the new characterization as the definition of the Stieltjes transform.…”
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Multivariable dimension polynomials and new invariants of differential field extensions by Alexander B. Levin

“…We introduce a special type of reduction in the ring of differential polynomials and develop the appropriate technique of characteristic sets that allows to generalize the classical Kolchin's theorem on differential dimension polynomial and find new differential birational invariants of a finitely generated differential field extension.…”
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On the product of the self-adjoint operators by Wulf Rehder

“…A proof is given for the fact that the product of two self-adjoint operators, one of which is also positive, is again self-adjoint if and only if the product is normal. This theorem applies, in particular, if one operator is an orthogonal projection. …”
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On Linear and Nonlinear Fourth-Order Eigenvalue Problems with Nonlocal Boundary Condition by Dongming Yan

“…The proofs of our main results are based upon the Krein-Rutman theorem and fixed point index theory.…”
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Shifting and Variational Properties for Fourier-Feynman Transform and Convolution by Byoung Soo Kim

“…Cameron and Storvick's translation theorem can be obtained as a corollary of our result. …”
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Existence of Weak Solutions for Fractional Integrodifferential Equations with Multipoint Boundary Conditions by Haide Gou, Baolin Li

“…By combining the techniques of fractional calculus with measure of weak noncompactness and fixed point theorem, we establish the existence of weak solutions of multipoint boundary value problem for fractional integrodifferential equations.…”
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Compacity in narrow limit tower spaces by Liviu C. Florescu

“…We introduce a limit tower structure on the space of all bounded Radon measures on a completely regular space and we extend the Prohorov's theorem of narrow compactness. In the particular case of Polish spaces, we give a sequential version of this extension.…”
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