# Boundary Value Problems

Boundary Value Problems > 2019 > 2019 > 1 > 1-16

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*f*belongs to a homogeneous Herz space K˙q(⋅)α,p(⋅) $\dot{K}^{\alpha,p(\cdot)}_{q(\cdot)}$ with two variable exponents.

Boundary Value Problems > 2019 > 2019 > 1 > 1-16

*q*-difference equations involving the Riemann–Liouville fractional

*q*-derivative on the half-line. By means of Schauder fixed point theorem and Leggett–Williams fixed point theorem, some results on existence and multiplicity of solutions are obtained.

Boundary Value Problems > 2019 > 2019 > 1 > 1-16

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*ω*-periodic mild solutions. The applied techniques are supported by the concept of measure of noncompactness in conjunction with the well-known Darbo–Sadovskii and...

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Boundary Value Problems > 2019 > 2019 > 1 > 1-14

*u*controls the breakdown of the strong solution. Furthermore, we give the probability estimate of the lifespan larger than

*δ*( 0<δ<1...

Boundary Value Problems > 2019 > 2019 > 1 > 1-14

Boundary Value Problems > 2019 > 2019 > 1 > 1-25

*A*,

*B*are two mixed monotone operators and e∈P with θ≤e≤h $\theta \leq e\leq h$, we prove a class of boundary value problems on elastic beam equation to have a unique solution. Furthermore, we also apply our abstract result to establish the existence...

Boundary Value Problems > 2019 > 2019 > 1 > 1-18

Boundary Value Problems > 2019 > 2019 > 1 > 1-19

Boundary Value Problems > 2019 > 2019 > 1 > 1-16

*x*. By using the non-Nehari...

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*s*. V(x) $V(x)$, K(x) $K(x)$ are nonnegative continuous functions and f(x) $f(x)$...

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*p*in (2,2∗) $(2,2^{*})$ for all...

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*a*is an arbitrary constant.

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*∂U*with 1<q<2<p<2∗ $1< q<2<p<2_{*}$. In the function space H(U) $\mathscr{H}...