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Fractional Evolution Equations with Nonlocal Initial Conditions and Superlinear Growth Nonlinear Terms
We investigate the existence of solutions for a class of fractional evolution equations with nonlocal initial conditions and superlinear growth...
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On a Nonlocal Inverse Boundary Value Problem for the Sixth-Order Boussinesq Equation with Nonlocal Time Integral Conditions of the Second Kind
AbstractA classical solution of a nonlinear inverse boundary value problem for the sixth-order Boussinesq equation with double dispersive term...
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Rothe’s Fixed Point Theorem and the Approximate Controllability of Semilinear Heat Equation with Impulses, Delays, and Nonlocal Conditions
Under certain conditions, impulses, delays, and nonlocal conditions are known to be negligible in comparison with the duration of the process. From...
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On the Solvability of an Essentially Nonlinear Elliptic Differential Equation with Nonlocal Boundary Conditions
AbstractSufficient conditions for the existence of a generalized solution to a nonlinear elliptic differential equation with nonlocal boundary...
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Mild Solutions of a Class of Conformable Fractional Differential Equations with Nonlocal Conditions
This paper deals with the existence, uniqueness and continuous dependence of mild solutions for a class of conformable fractional differential...
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Two Problems for Fourth Order Equations with Nonlocal Conditions in Characteristic Domain
We study the solvability of two characteristic problems for a fourth order equation with nonlocal conditions containing integrals of the solution....
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Approximation by Nonlocal Problems
In this Chapter we study a nonlocal counterpart of the least gradient problem, i.e. the minimization of the functional... -
Nonlocal doubly nonlinear diffusion problems with nonlinear boundary conditions
We study the existence and uniqueness of mild and strong solutions of nonlocal nonlinear diffusion problems of p -Laplacian type with nonlinear...
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Nonlinear Inverse Problems for Parabolic Equations with Time–Dependent Coefficients. Reduction to Nonlocal Problems with Samarskii–Ionkin Type Conditions
We consider coefficient inverse problems of finding a solution and a time-dependent coefficient of a parabolic equation under boundary...
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A Study on Non-autonomous Second Order Evolution Equations with Nonlocal Conditions
This article deals with the nonlocal problem to a class of nonlinear non-autonomous second order integro-differential evolution equation of mixed...
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On approximate controllability of semi-linear neutral integro-differential evolution systems with state-dependent nonlocal conditions
This paper is concerned with the approximate controllability of a class of semi-linear neutral integro-differential equation with nonlocal condition....
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Doubly Nonlinear Nonlocal Stationary Problems of Leray-Lions Type with Nonlinear Boundary Conditions
Let \([X,\mathcal {B},m,\nu ]\) be a reversible random walk... -
An Optimization-Based Strategy for Peridynamic-FEM Coupling and for the Prescription of Nonlocal Boundary Conditions
We describe an optimization-based method for the coupling of a static peridynamic (PD) model and a static classical elasticity model. The approach... -
Nonlocal Problem with Multipoint Perturbations of the Birkhoff Strongly Regular Boundary Conditions for an Even-Order Differential Operator
We study spectral properties of a nonself-adjoint problem for a (2 n ) th order operator of differentiation with nonlocal conditions representing...
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An investigation of a new Lyapunov-type inequality for Katugampola–Hilfer fractional BVP with nonlocal and integral boundary conditions
In this manuscript, we focus our attention on investigating new Lyapunov-type inequalities ( LTIs ) for two classes of boundary value problems ( BVPs )...
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On a Coupled System of Nonlinear Generalized Fractional Differential Equations with Nonlocal Coupled Riemann–Stieltjes Boundary Conditions
In this paper, we study a new class of coupled systems of nonlinear generalized fractional differential equations complemented with coupled nonlocal...
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On Solvability of a Linear Parabolic Problem with Nonlocal Boundary Conditions
A linear parabolic equation with boundary conditions of the Bitsadze–Samarskii type is considered. An existence and uniqueness theorem for a...
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Asymptotic analysis of Sturm–Liouville problem with Neumann and nonlocal two-point boundary conditions
In this study, we obtain asymptotic expansions for eigenvalues and eigenfunctions of the one-dimensional Sturm–Liouville equation with one classical...
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A Study on Decay Mild Solutions of Damped Elastic Systems with Nonlocal Conditions in Banach Spaces
The goal of this paper is to consider damped elastic systems with nonlocal conditions in the framework of Banach spaces. Our first aim is to...
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Doubly Nonlinear Nonlocal Diffusion Problems of Leray-Lions Type with Nonlinear Boundary Conditions
This chapter is concerned with the existence and uniqueness of mild solutions of nonlocal nonlinear diffusion problems.