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181 papers found.
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A Furi-Pera theorem in Hausdorff topological spaces for acyclic maps

special retract of E? provided we assume (2.9) and replace (2.1) with (2.10). Remark 2.8. In Theorem 2.6, note (2.11) could be replaced by (2.12). Ravi P. Agarwal: Department of Mathematical Sciences

Fixed point theory for Mönch-type maps defined on closed subsets of Fréchet spaces: the projective limit approach

Hindawi Publishing Corporation International Journal of Mathematics and Mathematical Sciences RAVI P. AGARWAL JEWGENI H. DSHALALOW DONAL O'REGAN New Leray-Schauder alternatives are presented for Mo ... ( 2000 ), no. 2 , 594 - 612 . Ravi P. Agarwal: Department of Mathematical Sciences, College of Science, Florida Institute of Technology, Melbourne, FL 32901 -6975, USA E-mail address: Jewgeni H. Dshalalow

Existence results for multi-term fractional differential equations with nonlocal multi-point and multi-strip boundary conditions

In this paper, we discuss the existence and uniqueness of solutions for a new class of multi-point and multi-strip boundary value problems of multi-term fractional differential equations by using standard fixed point theorems. We demonstrate the application of the obtained results with the aid of examples. Some new results are also deduced by fixing the parameters involved in the...

Caristi type cyclic contraction and common fixed point theorems in bipolar metric spaces with applications

In this paper, we obtain the existence and uniqueness of the solution for three self mappings in a complete bipolar metric space under a new Caristi type contraction with an example. We also provide applications to homotopy theory and nonlinear integral equations.

A note on Ćirić type nonunique fixed point theorems

In this paper, we suggest some nonunique fixed results in the setting of various abstract spaces. The proposed results extend, generalize and unify many existing results in the corresponding literature.

Fractional-order differential equations with anti-periodic boundary conditions: a survey

We will present an up-to-date review on anti-periodic boundary value problems of fractional-order differential equations and inclusions. Some recent and new results on nonlinear coupled fractional differential equations supplemented with coupled anti-periodic boundary conditions will also be highlighted.

Fractional-order differential equations with anti-periodic boundary conditions: a survey

We will present an up-to-date review on anti-periodic boundary value problems of fractional-order differential equations and inclusions. Some recent and new results on nonlinear coupled fractional differential equations supplemented with coupled anti-periodic boundary conditions will also be highlighted.

A matched space for time scales and applications to the study on functions

In this paper, using the algebraic structure of the Abelian group, we introduce the concept of a matched space for time scales, and we construct the algebraic structure of matched spaces to solve the closedness of time scales under non-translational shifts. Using a matched space for time scales, a new concept of periodic time scales is introduced. Based on it, new concepts of...

Positive solutions of fractional integral equations by the technique of measure of noncompactness

Agarwal 2 Manuel De la Sen 0 0 Institute of Research and Development of Processes IIDP Faculty of Science and Technology, University of the Basque Country , Leioa , Spain 1 Department of Mathematics, Sari

Proving uniqueness for the solution of the problem of homogeneous and anisotropic micropolar thermoelasticity

In this paper we derive some identities for the solution of the problem of homogeneous and anisotropic micropolar thermoelasticity. These can be applied to proving uniqueness of the solution of the corresponding boundary initial value problem.

New applications of Calvert and Gupta’s results to hyperbolic differential equation with mixed boundaries

Calvert and Gupta’s results concerning the perturbations on the ranges of m-accretive mappings have been employed widely in the discussion of the existence of solutions of nonlinear elliptic differential equation with Neumann boundary. In this paper, we shall focus our attention on certain hyperbolic differential equation with mixed boundaries. By defining some suitable nonlinear...

Positive solutions of higher-order Sturm-Liouville boundary value problems with derivative-dependent nonlinear terms

We consider the Sturm-Liouville boundary value problem { y ( m ) ( t ) + F ( t , y ( t ) , y ′ ( t ) , … , y ( q ) ( t ) ) = 0 , t ∈ [ 0 , 1 ] , y ( k ) ( 0 ) = 0 , 0 ≤ k ≤ m − 3 , ζ y ( m − 2 ) ( 0 ) − θ y ( m − 1 ) ( 0 ) = 0 , ρ y ( m − 2 ) ( 1 ) + δ y ( m − 1 ) ( 1 ) = 0 , where m ≥ 3 and 1 ≤ q ≤ m − 2 . We note that the nonlinear term F involves derivatives. This makes the...

Compactness criteria and new impulsive functional dynamic equations on time scales

P Agarwal 1 Donal O'Regan 0 0 School of Mathematics, Statistics and Applied Mathematics, National University of Ireland , Galway , Ireland 1 Department of Mathematics, Texas A&M University-Kingsville

Nonconstant periodic solutions for a class of ordinary p-Laplacian systems

In this paper, we study the existence of periodic solutions for a class of ordinary p-Laplacian systems. Our technique is based on the generalized mountain pass theorem of Rabinowitz. MSC: 47J30, 34B15, 34C25, 35B38.

Existence results for sequential fractional integro-differential equations with nonlocal multi-point and strip conditions

In this paper we investigate a new kind of nonlocal multi-point boundary value problem of Caputo type sequential fractional integro-differential equations involving Riemann-Liouville integral boundary conditions. Several existence and uniqueness results are obtained via suitable fixed point theorems. Some illustrative examples are also presented. The paper concludes with some...

A new iterative algorithm for the sum of infinite m-accretive mappings and infinite \(\mu_{i}\) -inversely strongly accretive mappings and its applications to integro-differential systems

A new three-step iterative algorithm for approximating the zero point of the sum of an infinite family of m-accretive mappings and an infinite family of \(\mu_{i}\)-inversely strongly accretive mappings in a real q-uniformly smooth and uniformly convex Banach space is presented. The computational error in each step is being considered. A strong convergence theorem is proved by...

Iterative algorithms for infinite accretive mappings and applications to p-Laplacian-like differential systems

Some new iterative algorithms with errors for approximating common zero point of an infinite family of m-accretive mappings in a real Banach space are presented. A path convergence theorem and some new weak and strong convergence theorems are proved by means of some new techniques, which extend the corresponding works by some authors. As applications, an infinite p-Laplacian-like...