Positive Solutions for Some Semi-positone Problems with Nonlinear Boundary Conditions via Bifurcation Theory
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DOI: 10.1007/s00009-019-1443-6
Abstract: Bifurcation theory is used to prove the existence of positive solutions of some classes of semi-positone problems with nonlinear boundary conditions $$\begin{aligned} {\left\{ \begin{array}{ll} -u''=\lambda f(t, u), \qquad t\in (0,1),\\ u(0)=0, \quad u'(1)+c(u(1))u(1)=0,\\ \end{array}\right. }… read more here.
Keywords: problems nonlinear; positive solutions; positone problems; bifurcation theory ... See more keywords
Simulation of 2D and 3D inverse source problems of nonlinear time-fractional wave equation by the meshless homogenization function method
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DOI: 10.1007/s00366-021-01489-2
Abstract: In this paper, homogenization functions are first proposed to address two-dimensional (2D) and three-dimensional (3D) inverse source problems of nonlinear time-fractional wave equation (ISPs-NTFWE). Homogenization functions for 2D and 3D problems can be derived based… read more here.
Keywords: problems nonlinear; method; inverse source; source problems ... See more keywords
Multiplicative Control Problems for Nonlinear Reaction-Diffusion-Convection Model
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DOI: 10.1007/s10883-020-09508-z
Abstract: Global solvability of a boundary value problem for a generalized Boussinesq model is proved in the case, when reaction coefficient depends nonlinearly on concentration of substance. Maximum principle is stated for substance’s concentration. Solvability of… read more here.
Keywords: diffusion; problems nonlinear; control; multiplicative control ... See more keywords
Solutions for Integral Boundary Value Problems of Nonlinear Hadamard Fractional Differential Equations
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DOI: 10.1155/2018/2193234
Abstract: In this paper using fixed point methods we establish some existence theorems of positive (nontrivial) solutions for integral boundary value problems of nonlinear Hadamard fractional differential equations. read more here.
Keywords: solutions integral; problems nonlinear; integral boundary; boundary value ... See more keywords
Boundary Value Problems of Nonlinear Mixed-Type Fractional Differential Equations
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DOI: 10.1155/2021/6692592
Abstract: In this paper, by means of a fixed point theorem for monotone decreasing operators on a cone, we discuss the existence of positive solutions for boundary value problems of nonlinear fractional singular differential equation. The… read more here.
Keywords: problems nonlinear; mixed type; boundary value; nonlinear mixed ... See more keywords
Nontrivial solutions of nonlocal boundary value problems for nonlinear higher-order singular fractional differential equations
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DOI: 10.11948/2018.938
Abstract: This paper deals with the existence and multiplicity of nontrivial solutions of nonlocal boundary value problems for nonlinear higher-order singular fractional differential equations with sign-changing nonlinear term. The main tool used in the proof is… read more here.
Keywords: nontrivial solutions; problems nonlinear; solutions nonlocal; boundary value ... See more keywords
Positive solutions for integral boundary value problems of nonlinear fractional differential equations with delay
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DOI: 10.2298/fil2302567c
Abstract: In this study, we consider integral boundary value problems of nonlinear fractional differential equations with finite delay. Existence results of positive solutions for the problems are obtained on the basis of the Guo-Krasnoselskii theorem and… read more here.
Keywords: integral boundary; problems nonlinear; nonlinear fractional; fractional differential ... See more keywords