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Positive solutions for a class of fractional differential equations with infinite-point boundary conditions on infinite intervals
In this paper, the existence of the multiple positive solutions for a class of higher-order fractional differential equations on infinite intervals...
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Positive solutions for the Riemann–Liouville-type fractional differential equation system with infinite-point boundary conditions on infinite intervals
In this paper, we study the existence and uniqueness of positive solutions for a class of a fractional differential equation system of...
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Existence and multiplicity of solutions of fractional differential equations on infinite intervals
In this research, we investigate the existence and multiplicity of solutions for fractional differential equations on infinite intervals. By using...
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Hyers–Ulam stability and existence of solutions for high-order fractional q-difference equations on infinite intervals
Recently, fractional q -difference equations on infinite intervals have attracted much attention due to their potential applications in many fields....
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Relaxation Theorem for Stieltjes Differential Inclusions on Infinite Intervals
For a very general first-order differential problem on an infinite-time horizon involving the Stieltjes derivative with respect to a left-continuous...
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Infinite-Dimensional Dynamics
This chapter is dedicated to some generalizations of the notions and results in the former chapters for an infinite-dimensional dynamics. This...
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Intervals of varieties of involution semigroups with contrasting reduct intervals
It is known that the lattice structure of an interval of varieties of involution semigroups can be very different from that of its reduct interval of...
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Conditional Cost Function and Necessary Optimality Conditions for Infinite Horizon Optimal Control Problems
AbstractAn infinite horizon optimal control problem with general endpoint constraints is reduced to a family of standard problems on finite time...
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Infinite partial sumsets in the primes
We show that there exist infinite sets A = ( a 1 , a 2 , …} and B = { b 1 , b 2 , …} of natural numbers such that a i + b j is prime whenever 1 ≤ i < j .
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Sobolev and Besov Classes on Infinite-Dimensional Spaces
AbstractWe discuss various definitions of Sobolev and Besov classes on infinite-dimensional spaces, give a survey of the results on coincidence of...
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Non-Traditional Intervals and Their Use. Which Ones Really Make Sense?
AbstractThe paper discusses the question of why intervals, which are the main object of Interval Analysis, have exactly the form that we know well...
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Infinite Algebraic Independence of Some Almost Polyadic Numbers
In this paper, we discuss some problems of infinite algebraic independence of polyadic and almost polyadic numbers.
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Semi-infinite interval equilibrium problems: optimality conditions and existence results
This paper aims to obtain new Karush–Kuhn–Tucker optimality conditions for solutions to semi-infinite interval equilibrium problems with...
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Möbius Disjointness for Distal Flows in Short Intervals
We prove the Möbius disjointness conjecture in short intervals for a class of skew products on the 2-torus, which includes Furstenberg’s example of...
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Infinite Products
The theory of sequences can be combined with the familiar notion of a finite product to produce a theory of infinite products. The theory of infinite...
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An infinite interval version of the α-Kakutani equidistribution problem
In this article we extend results of Kakutani, Adler–Flatto, Smilansky and others on the classical α -Kakutani equidistribution result for sequences...
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On Some Properties of the Shift on an Infinite-Dimensional Torus
AbstractWe study the question, classical in the theory of dynamical systems, about the minimality of the shift on an infinite-dimensional torus;...
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Conditions for Local Parameter Identifiability for Systems of Differential Equations with an Infinite-Dimensional Parameter
AbstractThe problem of parametric identification (determining the parameters of a system by observing solutions or functions of them) is one of the...
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Cauchy Problem for the Nonlinear Liouville Equation in the Class of Periodic Infinite-Gap Functions
AbstractThe inverse spectral problem method is used to integrate the nonlinear Liouville equation in the class of periodic infinite-gap functions....