Results 21 to 30 of about 293 (71)

On Semilinear Integro‐Differential Equations with Nonlocal Conditions in Banach Spaces

Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012
We study the abstract Cauchy problem for a class of integrodifferential equations in a Banach space with nonlinear perturbations and nonlocal conditions. By using MNC estimates, the existence and continuous dependence results are proved. Under some additional assumptions, we study the topological structure of the solution set.
Tran Dinh Ke, Valeri Obukhovskii, Ngai-Ching Wong, Jen-Chih Yao, Malisa R. Zizovic   +4 more
wiley   +1 more source

Existence of the Mild Solutions for Delay Fractional Integrodifferential Equations with Almost Sectorial Operators

Abstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012
This paper is concerned with the existence of mild solutions for the fractional integrodifferential equations with finite delay and almost sectorial operators in a separable Banach space X. We obtain existence theorem for mild solutions to the above‐mentioned equations, by means of measure of noncompactness and the resolvent operators associated with ...
Fang Li, Detlev Buchholz
wiley   +1 more source

An Existence Result for Neutral Delay Integrodifferential Equations with Fractional Order and Nonlocal Conditions

Abstract and Applied Analysis, Volume 2011, Issue 1, 2011., 2011
We study the existence of mild solutions of a class of neutral delay integrodifferential equations with fractional order and nonlocal conditions in a Banach space X. An existence result on the mild solution is obtained by using the theory of the measures of noncompactness and the theory of condensing maps.
Fang Li, Gaston M. N′Guérékata, Svatoslav Staněk   +2 more
wiley   +1 more source

Varying G, accelerating Universe, and other relevant consequences of a Stochastic Self-Similar and Fractal Universe

, 2003
In this paper the time dependence of G is presented. It is a simple consequence of the Virial Theorem and of the self-similarity and fractality of the Universe. The results suggest a Universe based on El Naschie's Cantorian space-time.
Iovane, G.
core   +1 more source

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2708-2726, November/December 2025.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja, V. Vijayakumar, Chun‐Wei Tsai, Kalyana Chakravarthy Veluvolu   +3 more
wiley   +1 more source

A Feedback-Based Regularized Primal-Dual Gradient Method for Time-Varying Nonconvex Optimization [PDF]

, 2018
This paper considers time-varying nonconvex optimization problems, utilized to model optimal operational trajectories of systems governed by possibly nonlinear physical or logical models. Algorithms for tracking a Karush-Kuhn-Tucker point are synthesized,
Bernstein, Andrey, Dall’Anese, Emiliano, Low, Steven H., Tang, Yujie   +3 more
core   +1 more source

Condensing Operators in Busemann Convex Metric Spaces With Applications to Hammerstein Integral Equations

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this article, we introduce a new class of cyclic and noncyclic condensing operators that extend the notion of condensing mappings previously proposed by Gabeleh and Markin (M. Gabeleh and J. Markin, Optimum solutions for a system of differential equations via measure of noncompactness, Indagationes Mathematicae, 29(3) [2018], 895–906).
A. Pradhan, M. Gabeleh, D. K. Patel, S. P. Moshokoa, Shikha Binwal   +4 more
wiley   +1 more source

On coincidence index for multivalued perturbations of nonlinear Fredholm maps and some applications

Abstract and Applied Analysis, Volume 7, Issue 6, Page 295-322, 2002., 2002
We define a nonoriented coincidence index for a compact, fundamentally restrictible, and condensing multivalued perturbations of a map which is nonlinear Fredholm of nonnegative index on the set of coincidence points. As an application, we consider an optimal controllability problem for a system governed by a second‐order integro‐differential equation.
Valeri Obukhovskii, Pietro Zecca, Victor Zvyagin   +2 more
wiley   +1 more source

On the Solution of n‐Product of 2D‐Hadamard–Volterra Integral Equations in Banach Algebra

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, the solvability of a general form of product type of n‐classes of 2D‐Hadamard–Volterra integral equations in the Banach algebra C([1, a] × [1, b]) is studied and investigated under more general and weaker assumptions. We use a general form of the Petryshyn’s fixed point theorem (F.P.T.) in combination with a suitable measure of ...
Mohamed M. A. Metwali, Manochehr Kazemi, Shami A. M. Alsallami, Ji Gao   +3 more
wiley   +1 more source

iPose: Instance-Aware 6D Pose Estimation of Partly Occluded Objects

, 2018
We address the task of 6D pose estimation of known rigid objects from single input images in scenarios where the objects are partly occluded. Recent RGB-D-based methods are robust to moderate degrees of occlusion. For RGB inputs, no previous method works
A Tejani, D Huttenlocher, E Brachmann, N Silberman, S Hinterstoisser, S Hinterstoisser, S Hinterstoisser, V Lepetit, W Kabsch, W Kehl, W Liu, XS Gao, Y Konishi   +12 more
core   +1 more source